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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 = 13x 24 + 13x = -6(x + -4) Reorder the terms: 24 + 13x = -6(-4 + x) 24 + 13x = (-4 * -6 + x * -6) 24 + 13x = (24 + -6x) Add '-24' to each side of the equation. 24 + -24 + 13x = 24 + -24 + -6x Combine like terms: 24 + -24 = 0 0 + 13x = 24 + -24 + -6x 13x = 24 + -24 + -6x Combine like terms: 24 + -24 = 0 13x = 0 + -6x 13x = -6x Solving 13x = -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. 13x + 6x = -6x + 6x Combine like terms: 13x + 6x = 19x 19x = -6x + 6x Combine like terms: -6x + 6x = 0 19x = 0 Divide each side by '19'. x = 0 Simplifying x = 0
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