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Simplifying 3(2x + -5) = 6(x + -4) + x Reorder the terms: 3(-5 + 2x) = 6(x + -4) + x (-5 * 3 + 2x * 3) = 6(x + -4) + x (-15 + 6x) = 6(x + -4) + x Reorder the terms: -15 + 6x = 6(-4 + x) + x -15 + 6x = (-4 * 6 + x * 6) + x -15 + 6x = (-24 + 6x) + x Combine like terms: 6x + x = 7x -15 + 6x = -24 + 7x Solving -15 + 6x = -24 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -15 + 6x + -7x = -24 + 7x + -7x Combine like terms: 6x + -7x = -1x -15 + -1x = -24 + 7x + -7x Combine like terms: 7x + -7x = 0 -15 + -1x = -24 + 0 -15 + -1x = -24 Add '15' to each side of the equation. -15 + 15 + -1x = -24 + 15 Combine like terms: -15 + 15 = 0 0 + -1x = -24 + 15 -1x = -24 + 15 Combine like terms: -24 + 15 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9
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