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Simplifying 4(x + -3) + -5(x + -5) = 20 Reorder the terms: 4(-3 + x) + -5(x + -5) = 20 (-3 * 4 + x * 4) + -5(x + -5) = 20 (-12 + 4x) + -5(x + -5) = 20 Reorder the terms: -12 + 4x + -5(-5 + x) = 20 -12 + 4x + (-5 * -5 + x * -5) = 20 -12 + 4x + (25 + -5x) = 20 Reorder the terms: -12 + 25 + 4x + -5x = 20 Combine like terms: -12 + 25 = 13 13 + 4x + -5x = 20 Combine like terms: 4x + -5x = -1x 13 + -1x = 20 Solving 13 + -1x = 20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1x = 20 + -13 Combine like terms: 13 + -13 = 0 0 + -1x = 20 + -13 -1x = 20 + -13 Combine like terms: 20 + -13 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7
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