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Simplifying 2(3 + -1x) + 7 = 2x + -1(x + -4) (3 * 2 + -1x * 2) + 7 = 2x + -1(x + -4) (6 + -2x) + 7 = 2x + -1(x + -4) Reorder the terms: 6 + 7 + -2x = 2x + -1(x + -4) Combine like terms: 6 + 7 = 13 13 + -2x = 2x + -1(x + -4) Reorder the terms: 13 + -2x = 2x + -1(-4 + x) 13 + -2x = 2x + (-4 * -1 + x * -1) 13 + -2x = 2x + (4 + -1x) Reorder the terms: 13 + -2x = 4 + 2x + -1x Combine like terms: 2x + -1x = 1x 13 + -2x = 4 + 1x Solving 13 + -2x = 4 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 13 + -2x + -1x = 4 + 1x + -1x Combine like terms: -2x + -1x = -3x 13 + -3x = 4 + 1x + -1x Combine like terms: 1x + -1x = 0 13 + -3x = 4 + 0 13 + -3x = 4 Add '-13' to each side of the equation. 13 + -13 + -3x = 4 + -13 Combine like terms: 13 + -13 = 0 0 + -3x = 4 + -13 -3x = 4 + -13 Combine like terms: 4 + -13 = -9 -3x = -9 Divide each side by '-3'. x = 3 Simplifying x = 3
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