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Simplifying 8(x + -2) + -3(x + -3) = 4(x + -1) + 2 Reorder the terms: 8(-2 + x) + -3(x + -3) = 4(x + -1) + 2 (-2 * 8 + x * 8) + -3(x + -3) = 4(x + -1) + 2 (-16 + 8x) + -3(x + -3) = 4(x + -1) + 2 Reorder the terms: -16 + 8x + -3(-3 + x) = 4(x + -1) + 2 -16 + 8x + (-3 * -3 + x * -3) = 4(x + -1) + 2 -16 + 8x + (9 + -3x) = 4(x + -1) + 2 Reorder the terms: -16 + 9 + 8x + -3x = 4(x + -1) + 2 Combine like terms: -16 + 9 = -7 -7 + 8x + -3x = 4(x + -1) + 2 Combine like terms: 8x + -3x = 5x -7 + 5x = 4(x + -1) + 2 Reorder the terms: -7 + 5x = 4(-1 + x) + 2 -7 + 5x = (-1 * 4 + x * 4) + 2 -7 + 5x = (-4 + 4x) + 2 Reorder the terms: -7 + 5x = -4 + 2 + 4x Combine like terms: -4 + 2 = -2 -7 + 5x = -2 + 4x Solving -7 + 5x = -2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -7 + 5x + -4x = -2 + 4x + -4x Combine like terms: 5x + -4x = 1x -7 + 1x = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 -7 + 1x = -2 + 0 -7 + 1x = -2 Add '7' to each side of the equation. -7 + 7 + 1x = -2 + 7 Combine like terms: -7 + 7 = 0 0 + 1x = -2 + 7 1x = -2 + 7 Combine like terms: -2 + 7 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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