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Simplifying 15(x + 7) = 4(14 + -10x) + 6x Reorder the terms: 15(7 + x) = 4(14 + -10x) + 6x (7 * 15 + x * 15) = 4(14 + -10x) + 6x (105 + 15x) = 4(14 + -10x) + 6x 105 + 15x = (14 * 4 + -10x * 4) + 6x 105 + 15x = (56 + -40x) + 6x Combine like terms: -40x + 6x = -34x 105 + 15x = 56 + -34x Solving 105 + 15x = 56 + -34x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '34x' to each side of the equation. 105 + 15x + 34x = 56 + -34x + 34x Combine like terms: 15x + 34x = 49x 105 + 49x = 56 + -34x + 34x Combine like terms: -34x + 34x = 0 105 + 49x = 56 + 0 105 + 49x = 56 Add '-105' to each side of the equation. 105 + -105 + 49x = 56 + -105 Combine like terms: 105 + -105 = 0 0 + 49x = 56 + -105 49x = 56 + -105 Combine like terms: 56 + -105 = -49 49x = -49 Divide each side by '49'. x = -1 Simplifying x = -1
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