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Simplifying 5(x + -2) + 4(x + -3) = x + 3(x + -1) + 4(x + -2) Reorder the terms: 5(-2 + x) + 4(x + -3) = x + 3(x + -1) + 4(x + -2) (-2 * 5 + x * 5) + 4(x + -3) = x + 3(x + -1) + 4(x + -2) (-10 + 5x) + 4(x + -3) = x + 3(x + -1) + 4(x + -2) Reorder the terms: -10 + 5x + 4(-3 + x) = x + 3(x + -1) + 4(x + -2) -10 + 5x + (-3 * 4 + x * 4) = x + 3(x + -1) + 4(x + -2) -10 + 5x + (-12 + 4x) = x + 3(x + -1) + 4(x + -2) Reorder the terms: -10 + -12 + 5x + 4x = x + 3(x + -1) + 4(x + -2) Combine like terms: -10 + -12 = -22 -22 + 5x + 4x = x + 3(x + -1) + 4(x + -2) Combine like terms: 5x + 4x = 9x -22 + 9x = x + 3(x + -1) + 4(x + -2) Reorder the terms: -22 + 9x = x + 3(-1 + x) + 4(x + -2) -22 + 9x = x + (-1 * 3 + x * 3) + 4(x + -2) -22 + 9x = x + (-3 + 3x) + 4(x + -2) Reorder the terms: -22 + 9x = x + -3 + 3x + 4(-2 + x) -22 + 9x = x + -3 + 3x + (-2 * 4 + x * 4) -22 + 9x = x + -3 + 3x + (-8 + 4x) Reorder the terms: -22 + 9x = -3 + -8 + x + 3x + 4x Combine like terms: -3 + -8 = -11 -22 + 9x = -11 + x + 3x + 4x Combine like terms: x + 3x = 4x -22 + 9x = -11 + 4x + 4x Combine like terms: 4x + 4x = 8x -22 + 9x = -11 + 8x Solving -22 + 9x = -11 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -22 + 9x + -8x = -11 + 8x + -8x Combine like terms: 9x + -8x = 1x -22 + 1x = -11 + 8x + -8x Combine like terms: 8x + -8x = 0 -22 + 1x = -11 + 0 -22 + 1x = -11 Add '22' to each side of the equation. -22 + 22 + 1x = -11 + 22 Combine like terms: -22 + 22 = 0 0 + 1x = -11 + 22 1x = -11 + 22 Combine like terms: -11 + 22 = 11 1x = 11 Divide each side by '1'. x = 11 Simplifying x = 11
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