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Simplifying 4(x + 6) + -3x = -2x + 2 + -8 Reorder the terms: 4(6 + x) + -3x = -2x + 2 + -8 (6 * 4 + x * 4) + -3x = -2x + 2 + -8 (24 + 4x) + -3x = -2x + 2 + -8 Combine like terms: 4x + -3x = 1x 24 + 1x = -2x + 2 + -8 Reorder the terms: 24 + 1x = 2 + -8 + -2x Combine like terms: 2 + -8 = -6 24 + 1x = -6 + -2x Solving 24 + 1x = -6 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 24 + 1x + 2x = -6 + -2x + 2x Combine like terms: 1x + 2x = 3x 24 + 3x = -6 + -2x + 2x Combine like terms: -2x + 2x = 0 24 + 3x = -6 + 0 24 + 3x = -6 Add '-24' to each side of the equation. 24 + -24 + 3x = -6 + -24 Combine like terms: 24 + -24 = 0 0 + 3x = -6 + -24 3x = -6 + -24 Combine like terms: -6 + -24 = -30 3x = -30 Divide each side by '3'. x = -10 Simplifying x = -10
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