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Simplifying -1x + x = -3(5x + -8) + 6(x + -4) Combine like terms: -1x + x = 0 0 = -3(5x + -8) + 6(x + -4) Reorder the terms: 0 = -3(-8 + 5x) + 6(x + -4) 0 = (-8 * -3 + 5x * -3) + 6(x + -4) 0 = (24 + -15x) + 6(x + -4) Reorder the terms: 0 = 24 + -15x + 6(-4 + x) 0 = 24 + -15x + (-4 * 6 + x * 6) 0 = 24 + -15x + (-24 + 6x) Reorder the terms: 0 = 24 + -24 + -15x + 6x Combine like terms: 24 + -24 = 0 0 = 0 + -15x + 6x 0 = -15x + 6x Combine like terms: -15x + 6x = -9x 0 = -9x Solving 0 = -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 0 + 9x = -9x + 9x Remove the zero: 9x = -9x + 9x Combine like terms: -9x + 9x = 0 9x = 0 Divide each side by '9'. x = 0 Simplifying x = 0
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