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Simplifying 5(x + 3) + -10 = 6x + 2(6 + -5x) Reorder the terms: 5(3 + x) + -10 = 6x + 2(6 + -5x) (3 * 5 + x * 5) + -10 = 6x + 2(6 + -5x) (15 + 5x) + -10 = 6x + 2(6 + -5x) Reorder the terms: 15 + -10 + 5x = 6x + 2(6 + -5x) Combine like terms: 15 + -10 = 5 5 + 5x = 6x + 2(6 + -5x) 5 + 5x = 6x + (6 * 2 + -5x * 2) 5 + 5x = 6x + (12 + -10x) Reorder the terms: 5 + 5x = 12 + 6x + -10x Combine like terms: 6x + -10x = -4x 5 + 5x = 12 + -4x Solving 5 + 5x = 12 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 5 + 5x + 4x = 12 + -4x + 4x Combine like terms: 5x + 4x = 9x 5 + 9x = 12 + -4x + 4x Combine like terms: -4x + 4x = 0 5 + 9x = 12 + 0 5 + 9x = 12 Add '-5' to each side of the equation. 5 + -5 + 9x = 12 + -5 Combine like terms: 5 + -5 = 0 0 + 9x = 12 + -5 9x = 12 + -5 Combine like terms: 12 + -5 = 7 9x = 7 Divide each side by '9'. x = 0.7777777778 Simplifying x = 0.7777777778
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