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Simplifying 4(x + -3) + -5(x + -2) = 4(4 + -1x) Reorder the terms: 4(-3 + x) + -5(x + -2) = 4(4 + -1x) (-3 * 4 + x * 4) + -5(x + -2) = 4(4 + -1x) (-12 + 4x) + -5(x + -2) = 4(4 + -1x) Reorder the terms: -12 + 4x + -5(-2 + x) = 4(4 + -1x) -12 + 4x + (-2 * -5 + x * -5) = 4(4 + -1x) -12 + 4x + (10 + -5x) = 4(4 + -1x) Reorder the terms: -12 + 10 + 4x + -5x = 4(4 + -1x) Combine like terms: -12 + 10 = -2 -2 + 4x + -5x = 4(4 + -1x) Combine like terms: 4x + -5x = -1x -2 + -1x = 4(4 + -1x) -2 + -1x = (4 * 4 + -1x * 4) -2 + -1x = (16 + -4x) Solving -2 + -1x = 16 + -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. -2 + -1x + 4x = 16 + -4x + 4x Combine like terms: -1x + 4x = 3x -2 + 3x = 16 + -4x + 4x Combine like terms: -4x + 4x = 0 -2 + 3x = 16 + 0 -2 + 3x = 16 Add '2' to each side of the equation. -2 + 2 + 3x = 16 + 2 Combine like terms: -2 + 2 = 0 0 + 3x = 16 + 2 3x = 16 + 2 Combine like terms: 16 + 2 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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