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Simplifying -10x + 3(8 + x) = -6(x + -4) -10x + (8 * 3 + x * 3) = -6(x + -4) -10x + (24 + 3x) = -6(x + -4) Reorder the terms: 24 + -10x + 3x = -6(x + -4) Combine like terms: -10x + 3x = -7x 24 + -7x = -6(x + -4) Reorder the terms: 24 + -7x = -6(-4 + x) 24 + -7x = (-4 * -6 + x * -6) 24 + -7x = (24 + -6x) Add '-24' to each side of the equation. 24 + -24 + -7x = 24 + -24 + -6x Combine like terms: 24 + -24 = 0 0 + -7x = 24 + -24 + -6x -7x = 24 + -24 + -6x Combine like terms: 24 + -24 = 0 -7x = 0 + -6x -7x = -6x Solving -7x = -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -7x + 6x = -6x + 6x Combine like terms: -7x + 6x = -1x -1x = -6x + 6x Combine like terms: -6x + 6x = 0 -1x = 0 Divide each side by '-1'. x = 0 Simplifying x = 0
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