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Simplifying 8 + (2x + -7) = 2(3x + -6) + -3 Reorder the terms: 8 + (-7 + 2x) = 2(3x + -6) + -3 Remove parenthesis around (-7 + 2x) 8 + -7 + 2x = 2(3x + -6) + -3 Combine like terms: 8 + -7 = 1 1 + 2x = 2(3x + -6) + -3 Reorder the terms: 1 + 2x = 2(-6 + 3x) + -3 1 + 2x = (-6 * 2 + 3x * 2) + -3 1 + 2x = (-12 + 6x) + -3 Reorder the terms: 1 + 2x = -12 + -3 + 6x Combine like terms: -12 + -3 = -15 1 + 2x = -15 + 6x Solving 1 + 2x = -15 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 1 + 2x + -6x = -15 + 6x + -6x Combine like terms: 2x + -6x = -4x 1 + -4x = -15 + 6x + -6x Combine like terms: 6x + -6x = 0 1 + -4x = -15 + 0 1 + -4x = -15 Add '-1' to each side of the equation. 1 + -1 + -4x = -15 + -1 Combine like terms: 1 + -1 = 0 0 + -4x = -15 + -1 -4x = -15 + -1 Combine like terms: -15 + -1 = -16 -4x = -16 Divide each side by '-4'. x = 4 Simplifying x = 4
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