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Simplifying -3x + 7 = 2x + -1(8 + 6x) + 3 Reorder the terms: 7 + -3x = 2x + -1(8 + 6x) + 3 7 + -3x = 2x + (8 * -1 + 6x * -1) + 3 7 + -3x = 2x + (-8 + -6x) + 3 Reorder the terms: 7 + -3x = -8 + 3 + 2x + -6x Combine like terms: -8 + 3 = -5 7 + -3x = -5 + 2x + -6x Combine like terms: 2x + -6x = -4x 7 + -3x = -5 + -4x Solving 7 + -3x = -5 + -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 + -3x + 4x = -5 + -4x + 4x Combine like terms: -3x + 4x = 1x 7 + 1x = -5 + -4x + 4x Combine like terms: -4x + 4x = 0 7 + 1x = -5 + 0 7 + 1x = -5 Add '-7' to each side of the equation. 7 + -7 + 1x = -5 + -7 Combine like terms: 7 + -7 = 0 0 + 1x = -5 + -7 1x = -5 + -7 Combine like terms: -5 + -7 = -12 1x = -12 Divide each side by '1'. x = -12 Simplifying x = -12
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