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Simplifying 3(2 + -1x) + 4 = 5 + -1(3 + -10) + -1x (2 * 3 + -1x * 3) + 4 = 5 + -1(3 + -10) + -1x (6 + -3x) + 4 = 5 + -1(3 + -10) + -1x Reorder the terms: 6 + 4 + -3x = 5 + -1(3 + -10) + -1x Combine like terms: 6 + 4 = 10 10 + -3x = 5 + -1(3 + -10) + -1x Combine like terms: 3 + -10 = -7 10 + -3x = 5 + -1(-7) + -1x Multiply -1 * -7 10 + -3x = 5 + 7 + -1x Combine like terms: 5 + 7 = 12 10 + -3x = 12 + -1x Solving 10 + -3x = 12 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 10 + -3x + x = 12 + -1x + x Combine like terms: -3x + x = -2x 10 + -2x = 12 + -1x + x Combine like terms: -1x + x = 0 10 + -2x = 12 + 0 10 + -2x = 12 Add '-10' to each side of the equation. 10 + -10 + -2x = 12 + -10 Combine like terms: 10 + -10 = 0 0 + -2x = 12 + -10 -2x = 12 + -10 Combine like terms: 12 + -10 = 2 -2x = 2 Divide each side by '-2'. x = -1 Simplifying x = -1
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