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Simplifying 7x + -3(4 + -2x) = 14x + -1(3 + -1x) 7x + (4 * -3 + -2x * -3) = 14x + -1(3 + -1x) 7x + (-12 + 6x) = 14x + -1(3 + -1x) Reorder the terms: -12 + 7x + 6x = 14x + -1(3 + -1x) Combine like terms: 7x + 6x = 13x -12 + 13x = 14x + -1(3 + -1x) -12 + 13x = 14x + (3 * -1 + -1x * -1) -12 + 13x = 14x + (-3 + 1x) Reorder the terms: -12 + 13x = -3 + 14x + 1x Combine like terms: 14x + 1x = 15x -12 + 13x = -3 + 15x Solving -12 + 13x = -3 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -12 + 13x + -15x = -3 + 15x + -15x Combine like terms: 13x + -15x = -2x -12 + -2x = -3 + 15x + -15x Combine like terms: 15x + -15x = 0 -12 + -2x = -3 + 0 -12 + -2x = -3 Add '12' to each side of the equation. -12 + 12 + -2x = -3 + 12 Combine like terms: -12 + 12 = 0 0 + -2x = -3 + 12 -2x = -3 + 12 Combine like terms: -3 + 12 = 9 -2x = 9 Divide each side by '-2'. x = -4.5 Simplifying x = -4.5
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