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Simplifying 4(x + -3) + -5(x + 2) = x + -5 Reorder the terms: 4(-3 + x) + -5(x + 2) = x + -5 (-3 * 4 + x * 4) + -5(x + 2) = x + -5 (-12 + 4x) + -5(x + 2) = x + -5 Reorder the terms: -12 + 4x + -5(2 + x) = x + -5 -12 + 4x + (2 * -5 + x * -5) = x + -5 -12 + 4x + (-10 + -5x) = x + -5 Reorder the terms: -12 + -10 + 4x + -5x = x + -5 Combine like terms: -12 + -10 = -22 -22 + 4x + -5x = x + -5 Combine like terms: 4x + -5x = -1x -22 + -1x = x + -5 Reorder the terms: -22 + -1x = -5 + x Solving -22 + -1x = -5 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -22 + -1x + -1x = -5 + x + -1x Combine like terms: -1x + -1x = -2x -22 + -2x = -5 + x + -1x Combine like terms: x + -1x = 0 -22 + -2x = -5 + 0 -22 + -2x = -5 Add '22' to each side of the equation. -22 + 22 + -2x = -5 + 22 Combine like terms: -22 + 22 = 0 0 + -2x = -5 + 22 -2x = -5 + 22 Combine like terms: -5 + 22 = 17 -2x = 17 Divide each side by '-2'. x = -8.5 Simplifying x = -8.5
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