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Simplifying 2(x + 3) + 7 = 15(x + -12) + -2 Reorder the terms: 2(3 + x) + 7 = 15(x + -12) + -2 (3 * 2 + x * 2) + 7 = 15(x + -12) + -2 (6 + 2x) + 7 = 15(x + -12) + -2 Reorder the terms: 6 + 7 + 2x = 15(x + -12) + -2 Combine like terms: 6 + 7 = 13 13 + 2x = 15(x + -12) + -2 Reorder the terms: 13 + 2x = 15(-12 + x) + -2 13 + 2x = (-12 * 15 + x * 15) + -2 13 + 2x = (-180 + 15x) + -2 Reorder the terms: 13 + 2x = -180 + -2 + 15x Combine like terms: -180 + -2 = -182 13 + 2x = -182 + 15x Solving 13 + 2x = -182 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 13 + 2x + -15x = -182 + 15x + -15x Combine like terms: 2x + -15x = -13x 13 + -13x = -182 + 15x + -15x Combine like terms: 15x + -15x = 0 13 + -13x = -182 + 0 13 + -13x = -182 Add '-13' to each side of the equation. 13 + -13 + -13x = -182 + -13 Combine like terms: 13 + -13 = 0 0 + -13x = -182 + -13 -13x = -182 + -13 Combine like terms: -182 + -13 = -195 -13x = -195 Divide each side by '-13'. x = 15 Simplifying x = 15
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