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Simplifying 7(1 + -6x) + 3(-2x + 4) = -29 (1 * 7 + -6x * 7) + 3(-2x + 4) = -29 (7 + -42x) + 3(-2x + 4) = -29 Reorder the terms: 7 + -42x + 3(4 + -2x) = -29 7 + -42x + (4 * 3 + -2x * 3) = -29 7 + -42x + (12 + -6x) = -29 Reorder the terms: 7 + 12 + -42x + -6x = -29 Combine like terms: 7 + 12 = 19 19 + -42x + -6x = -29 Combine like terms: -42x + -6x = -48x 19 + -48x = -29 Solving 19 + -48x = -29 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -48x = -29 + -19 Combine like terms: 19 + -19 = 0 0 + -48x = -29 + -19 -48x = -29 + -19 Combine like terms: -29 + -19 = -48 -48x = -48 Divide each side by '-48'. x = 1 Simplifying x = 1
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