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Simplifying 3(5 + -1x) + -2(-7) = 7x + 29 (5 * 3 + -1x * 3) + -2(-7) = 7x + 29 (15 + -3x) + -2(-7) = 7x + 29 Multiply -2 * -7 15 + -3x + 14 = 7x + 29 Reorder the terms: 15 + 14 + -3x = 7x + 29 Combine like terms: 15 + 14 = 29 29 + -3x = 7x + 29 Reorder the terms: 29 + -3x = 29 + 7x Add '-29' to each side of the equation. 29 + -29 + -3x = 29 + -29 + 7x Combine like terms: 29 + -29 = 0 0 + -3x = 29 + -29 + 7x -3x = 29 + -29 + 7x Combine like terms: 29 + -29 = 0 -3x = 0 + 7x -3x = 7x Solving -3x = 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. -3x + -7x = 7x + -7x Combine like terms: -3x + -7x = -10x -10x = 7x + -7x Combine like terms: 7x + -7x = 0 -10x = 0 Divide each side by '-10'. x = 0.0 Simplifying x = 0.0
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