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Simplifying 4(x + 3) + -3x = -2(7x + -1) Reorder the terms: 4(3 + x) + -3x = -2(7x + -1) (3 * 4 + x * 4) + -3x = -2(7x + -1) (12 + 4x) + -3x = -2(7x + -1) Combine like terms: 4x + -3x = 1x 12 + 1x = -2(7x + -1) Reorder the terms: 12 + 1x = -2(-1 + 7x) 12 + 1x = (-1 * -2 + 7x * -2) 12 + 1x = (2 + -14x) Solving 12 + 1x = 2 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 12 + 1x + 14x = 2 + -14x + 14x Combine like terms: 1x + 14x = 15x 12 + 15x = 2 + -14x + 14x Combine like terms: -14x + 14x = 0 12 + 15x = 2 + 0 12 + 15x = 2 Add '-12' to each side of the equation. 12 + -12 + 15x = 2 + -12 Combine like terms: 12 + -12 = 0 0 + 15x = 2 + -12 15x = 2 + -12 Combine like terms: 2 + -12 = -10 15x = -10 Divide each side by '15'. x = -0.6666666667 Simplifying x = -0.6666666667
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