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Simplifying 3(1 + -1x) + 10 = 14 + -2(x + 3) (1 * 3 + -1x * 3) + 10 = 14 + -2(x + 3) (3 + -3x) + 10 = 14 + -2(x + 3) Reorder the terms: 3 + 10 + -3x = 14 + -2(x + 3) Combine like terms: 3 + 10 = 13 13 + -3x = 14 + -2(x + 3) Reorder the terms: 13 + -3x = 14 + -2(3 + x) 13 + -3x = 14 + (3 * -2 + x * -2) 13 + -3x = 14 + (-6 + -2x) Combine like terms: 14 + -6 = 8 13 + -3x = 8 + -2x Solving 13 + -3x = 8 + -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. 13 + -3x + 2x = 8 + -2x + 2x Combine like terms: -3x + 2x = -1x 13 + -1x = 8 + -2x + 2x Combine like terms: -2x + 2x = 0 13 + -1x = 8 + 0 13 + -1x = 8 Add '-13' to each side of the equation. 13 + -13 + -1x = 8 + -13 Combine like terms: 13 + -13 = 0 0 + -1x = 8 + -13 -1x = 8 + -13 Combine like terms: 8 + -13 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5
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