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Simplifying 4(x + -3) + -5(x + 2) = 3(x + -5) Reorder the terms: 4(-3 + x) + -5(x + 2) = 3(x + -5) (-3 * 4 + x * 4) + -5(x + 2) = 3(x + -5) (-12 + 4x) + -5(x + 2) = 3(x + -5) Reorder the terms: -12 + 4x + -5(2 + x) = 3(x + -5) -12 + 4x + (2 * -5 + x * -5) = 3(x + -5) -12 + 4x + (-10 + -5x) = 3(x + -5) Reorder the terms: -12 + -10 + 4x + -5x = 3(x + -5) Combine like terms: -12 + -10 = -22 -22 + 4x + -5x = 3(x + -5) Combine like terms: 4x + -5x = -1x -22 + -1x = 3(x + -5) Reorder the terms: -22 + -1x = 3(-5 + x) -22 + -1x = (-5 * 3 + x * 3) -22 + -1x = (-15 + 3x) Solving -22 + -1x = -15 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -22 + -1x + -3x = -15 + 3x + -3x Combine like terms: -1x + -3x = -4x -22 + -4x = -15 + 3x + -3x Combine like terms: 3x + -3x = 0 -22 + -4x = -15 + 0 -22 + -4x = -15 Add '22' to each side of the equation. -22 + 22 + -4x = -15 + 22 Combine like terms: -22 + 22 = 0 0 + -4x = -15 + 22 -4x = -15 + 22 Combine like terms: -15 + 22 = 7 -4x = 7 Divide each side by '-4'. x = -1.75 Simplifying x = -1.75
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