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Simplifying 4(x + -3) + -2(x + 5) = 90 Reorder the terms: 4(-3 + x) + -2(x + 5) = 90 (-3 * 4 + x * 4) + -2(x + 5) = 90 (-12 + 4x) + -2(x + 5) = 90 Reorder the terms: -12 + 4x + -2(5 + x) = 90 -12 + 4x + (5 * -2 + x * -2) = 90 -12 + 4x + (-10 + -2x) = 90 Reorder the terms: -12 + -10 + 4x + -2x = 90 Combine like terms: -12 + -10 = -22 -22 + 4x + -2x = 90 Combine like terms: 4x + -2x = 2x -22 + 2x = 90 Solving -22 + 2x = 90 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 2x = 90 + 22 Combine like terms: -22 + 22 = 0 0 + 2x = 90 + 22 2x = 90 + 22 Combine like terms: 90 + 22 = 112 2x = 112 Divide each side by '2'. x = 56 Simplifying x = 56
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