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Simplifying 7(1 + -2x) = -2(-1x + 3) + -3x (1 * 7 + -2x * 7) = -2(-1x + 3) + -3x (7 + -14x) = -2(-1x + 3) + -3x Reorder the terms: 7 + -14x = -2(3 + -1x) + -3x 7 + -14x = (3 * -2 + -1x * -2) + -3x 7 + -14x = (-6 + 2x) + -3x Combine like terms: 2x + -3x = -1x 7 + -14x = -6 + -1x Solving 7 + -14x = -6 + -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. 7 + -14x + x = -6 + -1x + x Combine like terms: -14x + x = -13x 7 + -13x = -6 + -1x + x Combine like terms: -1x + x = 0 7 + -13x = -6 + 0 7 + -13x = -6 Add '-7' to each side of the equation. 7 + -7 + -13x = -6 + -7 Combine like terms: 7 + -7 = 0 0 + -13x = -6 + -7 -13x = -6 + -7 Combine like terms: -6 + -7 = -13 -13x = -13 Divide each side by '-13'. x = 1 Simplifying x = 1
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