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Simplifying 2(3x + 15) + -2(7x + -3) = x + 7 Reorder the terms: 2(15 + 3x) + -2(7x + -3) = x + 7 (15 * 2 + 3x * 2) + -2(7x + -3) = x + 7 (30 + 6x) + -2(7x + -3) = x + 7 Reorder the terms: 30 + 6x + -2(-3 + 7x) = x + 7 30 + 6x + (-3 * -2 + 7x * -2) = x + 7 30 + 6x + (6 + -14x) = x + 7 Reorder the terms: 30 + 6 + 6x + -14x = x + 7 Combine like terms: 30 + 6 = 36 36 + 6x + -14x = x + 7 Combine like terms: 6x + -14x = -8x 36 + -8x = x + 7 Reorder the terms: 36 + -8x = 7 + x Solving 36 + -8x = 7 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 36 + -8x + -1x = 7 + x + -1x Combine like terms: -8x + -1x = -9x 36 + -9x = 7 + x + -1x Combine like terms: x + -1x = 0 36 + -9x = 7 + 0 36 + -9x = 7 Add '-36' to each side of the equation. 36 + -36 + -9x = 7 + -36 Combine like terms: 36 + -36 = 0 0 + -9x = 7 + -36 -9x = 7 + -36 Combine like terms: 7 + -36 = -29 -9x = -29 Divide each side by '-9'. x = 3.222222222 Simplifying x = 3.222222222
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