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Simplifying 90 = -1(x + -3) + 4(x + -6) Reorder the terms: 90 = -1(-3 + x) + 4(x + -6) 90 = (-3 * -1 + x * -1) + 4(x + -6) 90 = (3 + -1x) + 4(x + -6) Reorder the terms: 90 = 3 + -1x + 4(-6 + x) 90 = 3 + -1x + (-6 * 4 + x * 4) 90 = 3 + -1x + (-24 + 4x) Reorder the terms: 90 = 3 + -24 + -1x + 4x Combine like terms: 3 + -24 = -21 90 = -21 + -1x + 4x Combine like terms: -1x + 4x = 3x 90 = -21 + 3x Solving 90 = -21 + 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. 90 + -3x = -21 + 3x + -3x Combine like terms: 3x + -3x = 0 90 + -3x = -21 + 0 90 + -3x = -21 Add '-90' to each side of the equation. 90 + -90 + -3x = -21 + -90 Combine like terms: 90 + -90 = 0 0 + -3x = -21 + -90 -3x = -21 + -90 Combine like terms: -21 + -90 = -111 -3x = -111 Divide each side by '-3'. x = 37 Simplifying x = 37
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