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Simplifying 5(x + -3) + -2(x + 4) = x + -3 + 4(x + -1) Reorder the terms: 5(-3 + x) + -2(x + 4) = x + -3 + 4(x + -1) (-3 * 5 + x * 5) + -2(x + 4) = x + -3 + 4(x + -1) (-15 + 5x) + -2(x + 4) = x + -3 + 4(x + -1) Reorder the terms: -15 + 5x + -2(4 + x) = x + -3 + 4(x + -1) -15 + 5x + (4 * -2 + x * -2) = x + -3 + 4(x + -1) -15 + 5x + (-8 + -2x) = x + -3 + 4(x + -1) Reorder the terms: -15 + -8 + 5x + -2x = x + -3 + 4(x + -1) Combine like terms: -15 + -8 = -23 -23 + 5x + -2x = x + -3 + 4(x + -1) Combine like terms: 5x + -2x = 3x -23 + 3x = x + -3 + 4(x + -1) Reorder the terms: -23 + 3x = x + -3 + 4(-1 + x) -23 + 3x = x + -3 + (-1 * 4 + x * 4) -23 + 3x = x + -3 + (-4 + 4x) Reorder the terms: -23 + 3x = -3 + -4 + x + 4x Combine like terms: -3 + -4 = -7 -23 + 3x = -7 + x + 4x Combine like terms: x + 4x = 5x -23 + 3x = -7 + 5x Solving -23 + 3x = -7 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -23 + 3x + -5x = -7 + 5x + -5x Combine like terms: 3x + -5x = -2x -23 + -2x = -7 + 5x + -5x Combine like terms: 5x + -5x = 0 -23 + -2x = -7 + 0 -23 + -2x = -7 Add '23' to each side of the equation. -23 + 23 + -2x = -7 + 23 Combine like terms: -23 + 23 = 0 0 + -2x = -7 + 23 -2x = -7 + 23 Combine like terms: -7 + 23 = 16 -2x = 16 Divide each side by '-2'. x = -8 Simplifying x = -8
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