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Simplifying 4(x + 3) + 5x = 10 + -2(6 + -1x) Reorder the terms: 4(3 + x) + 5x = 10 + -2(6 + -1x) (3 * 4 + x * 4) + 5x = 10 + -2(6 + -1x) (12 + 4x) + 5x = 10 + -2(6 + -1x) Combine like terms: 4x + 5x = 9x 12 + 9x = 10 + -2(6 + -1x) 12 + 9x = 10 + (6 * -2 + -1x * -2) 12 + 9x = 10 + (-12 + 2x) Combine like terms: 10 + -12 = -2 12 + 9x = -2 + 2x Solving 12 + 9x = -2 + 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. 12 + 9x + -2x = -2 + 2x + -2x Combine like terms: 9x + -2x = 7x 12 + 7x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + 7x = -2 + 0 12 + 7x = -2 Add '-12' to each side of the equation. 12 + -12 + 7x = -2 + -12 Combine like terms: 12 + -12 = 0 0 + 7x = -2 + -12 7x = -2 + -12 Combine like terms: -2 + -12 = -14 7x = -14 Divide each side by '7'. x = -2 Simplifying x = -2
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