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Simplifying (x + 3) + -15 = 7(x + -2) + 8 Reorder the terms: (3 + x) + -15 = 7(x + -2) + 8 Remove parenthesis around (3 + x) 3 + x + -15 = 7(x + -2) + 8 Reorder the terms: 3 + -15 + x = 7(x + -2) + 8 Combine like terms: 3 + -15 = -12 -12 + x = 7(x + -2) + 8 Reorder the terms: -12 + x = 7(-2 + x) + 8 -12 + x = (-2 * 7 + x * 7) + 8 -12 + x = (-14 + 7x) + 8 Reorder the terms: -12 + x = -14 + 8 + 7x Combine like terms: -14 + 8 = -6 -12 + x = -6 + 7x Solving -12 + x = -6 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -12 + x + -7x = -6 + 7x + -7x Combine like terms: x + -7x = -6x -12 + -6x = -6 + 7x + -7x Combine like terms: 7x + -7x = 0 -12 + -6x = -6 + 0 -12 + -6x = -6 Add '12' to each side of the equation. -12 + 12 + -6x = -6 + 12 Combine like terms: -12 + 12 = 0 0 + -6x = -6 + 12 -6x = -6 + 12 Combine like terms: -6 + 12 = 6 -6x = 6 Divide each side by '-6'. x = -1 Simplifying x = -1
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