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Simplifying 10(x + 2) + 4 = 6(x + -3) + 8 Reorder the terms: 10(2 + x) + 4 = 6(x + -3) + 8 (2 * 10 + x * 10) + 4 = 6(x + -3) + 8 (20 + 10x) + 4 = 6(x + -3) + 8 Reorder the terms: 20 + 4 + 10x = 6(x + -3) + 8 Combine like terms: 20 + 4 = 24 24 + 10x = 6(x + -3) + 8 Reorder the terms: 24 + 10x = 6(-3 + x) + 8 24 + 10x = (-3 * 6 + x * 6) + 8 24 + 10x = (-18 + 6x) + 8 Reorder the terms: 24 + 10x = -18 + 8 + 6x Combine like terms: -18 + 8 = -10 24 + 10x = -10 + 6x Solving 24 + 10x = -10 + 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. 24 + 10x + -6x = -10 + 6x + -6x Combine like terms: 10x + -6x = 4x 24 + 4x = -10 + 6x + -6x Combine like terms: 6x + -6x = 0 24 + 4x = -10 + 0 24 + 4x = -10 Add '-24' to each side of the equation. 24 + -24 + 4x = -10 + -24 Combine like terms: 24 + -24 = 0 0 + 4x = -10 + -24 4x = -10 + -24 Combine like terms: -10 + -24 = -34 4x = -34 Divide each side by '4'. x = -8.5 Simplifying x = -8.5
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