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Simplifying -1(-3 + x) + 4 = 2(x + 3) + -6x + -7 (-3 * -1 + x * -1) + 4 = 2(x + 3) + -6x + -7 (3 + -1x) + 4 = 2(x + 3) + -6x + -7 Reorder the terms: 3 + 4 + -1x = 2(x + 3) + -6x + -7 Combine like terms: 3 + 4 = 7 7 + -1x = 2(x + 3) + -6x + -7 Reorder the terms: 7 + -1x = 2(3 + x) + -6x + -7 7 + -1x = (3 * 2 + x * 2) + -6x + -7 7 + -1x = (6 + 2x) + -6x + -7 Reorder the terms: 7 + -1x = 6 + -7 + 2x + -6x Combine like terms: 6 + -7 = -1 7 + -1x = -1 + 2x + -6x Combine like terms: 2x + -6x = -4x 7 + -1x = -1 + -4x Solving 7 + -1x = -1 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 7 + -1x + 4x = -1 + -4x + 4x Combine like terms: -1x + 4x = 3x 7 + 3x = -1 + -4x + 4x Combine like terms: -4x + 4x = 0 7 + 3x = -1 + 0 7 + 3x = -1 Add '-7' to each side of the equation. 7 + -7 + 3x = -1 + -7 Combine like terms: 7 + -7 = 0 0 + 3x = -1 + -7 3x = -1 + -7 Combine like terms: -1 + -7 = -8 3x = -8 Divide each side by '3'. x = -2.666666667 Simplifying x = -2.666666667
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