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Simplifying 6(x + -3) + -1(4 + 125) = 8(9 + -5x) + -2x Reorder the terms: 6(-3 + x) + -1(4 + 125) = 8(9 + -5x) + -2x (-3 * 6 + x * 6) + -1(4 + 125) = 8(9 + -5x) + -2x (-18 + 6x) + -1(4 + 125) = 8(9 + -5x) + -2x Combine like terms: 4 + 125 = 129 -18 + 6x + -1(129) = 8(9 + -5x) + -2x Multiply -1 * 129 -18 + 6x + -129 = 8(9 + -5x) + -2x Reorder the terms: -18 + -129 + 6x = 8(9 + -5x) + -2x Combine like terms: -18 + -129 = -147 -147 + 6x = 8(9 + -5x) + -2x -147 + 6x = (9 * 8 + -5x * 8) + -2x -147 + 6x = (72 + -40x) + -2x Combine like terms: -40x + -2x = -42x -147 + 6x = 72 + -42x Solving -147 + 6x = 72 + -42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42x' to each side of the equation. -147 + 6x + 42x = 72 + -42x + 42x Combine like terms: 6x + 42x = 48x -147 + 48x = 72 + -42x + 42x Combine like terms: -42x + 42x = 0 -147 + 48x = 72 + 0 -147 + 48x = 72 Add '147' to each side of the equation. -147 + 147 + 48x = 72 + 147 Combine like terms: -147 + 147 = 0 0 + 48x = 72 + 147 48x = 72 + 147 Combine like terms: 72 + 147 = 219 48x = 219 Divide each side by '48'. x = 4.5625 Simplifying x = 4.5625
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