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Simplifying 3(x + -2) + -5(x + 2) = 4(x + -1) Reorder the terms: 3(-2 + x) + -5(x + 2) = 4(x + -1) (-2 * 3 + x * 3) + -5(x + 2) = 4(x + -1) (-6 + 3x) + -5(x + 2) = 4(x + -1) Reorder the terms: -6 + 3x + -5(2 + x) = 4(x + -1) -6 + 3x + (2 * -5 + x * -5) = 4(x + -1) -6 + 3x + (-10 + -5x) = 4(x + -1) Reorder the terms: -6 + -10 + 3x + -5x = 4(x + -1) Combine like terms: -6 + -10 = -16 -16 + 3x + -5x = 4(x + -1) Combine like terms: 3x + -5x = -2x -16 + -2x = 4(x + -1) Reorder the terms: -16 + -2x = 4(-1 + x) -16 + -2x = (-1 * 4 + x * 4) -16 + -2x = (-4 + 4x) Solving -16 + -2x = -4 + 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. -16 + -2x + -4x = -4 + 4x + -4x Combine like terms: -2x + -4x = -6x -16 + -6x = -4 + 4x + -4x Combine like terms: 4x + -4x = 0 -16 + -6x = -4 + 0 -16 + -6x = -4 Add '16' to each side of the equation. -16 + 16 + -6x = -4 + 16 Combine like terms: -16 + 16 = 0 0 + -6x = -4 + 16 -6x = -4 + 16 Combine like terms: -4 + 16 = 12 -6x = 12 Divide each side by '-6'. x = -2 Simplifying x = -2
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