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Simplifying 5(3 + -2x) + -10 = 4(2 + -3x) + 6 (3 * 5 + -2x * 5) + -10 = 4(2 + -3x) + 6 (15 + -10x) + -10 = 4(2 + -3x) + 6 Reorder the terms: 15 + -10 + -10x = 4(2 + -3x) + 6 Combine like terms: 15 + -10 = 5 5 + -10x = 4(2 + -3x) + 6 5 + -10x = (2 * 4 + -3x * 4) + 6 5 + -10x = (8 + -12x) + 6 Reorder the terms: 5 + -10x = 8 + 6 + -12x Combine like terms: 8 + 6 = 14 5 + -10x = 14 + -12x Solving 5 + -10x = 14 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 5 + -10x + 12x = 14 + -12x + 12x Combine like terms: -10x + 12x = 2x 5 + 2x = 14 + -12x + 12x Combine like terms: -12x + 12x = 0 5 + 2x = 14 + 0 5 + 2x = 14 Add '-5' to each side of the equation. 5 + -5 + 2x = 14 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 14 + -5 2x = 14 + -5 Combine like terms: 14 + -5 = 9 2x = 9 Divide each side by '2'. x = 4.5 Simplifying x = 4.5
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