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Simplifying 2x + -29 = 3(4x + 7) Reorder the terms: -29 + 2x = 3(4x + 7) Reorder the terms: -29 + 2x = 3(7 + 4x) -29 + 2x = (7 * 3 + 4x * 3) -29 + 2x = (21 + 12x) Solving -29 + 2x = 21 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -29 + 2x + -12x = 21 + 12x + -12x Combine like terms: 2x + -12x = -10x -29 + -10x = 21 + 12x + -12x Combine like terms: 12x + -12x = 0 -29 + -10x = 21 + 0 -29 + -10x = 21 Add '29' to each side of the equation. -29 + 29 + -10x = 21 + 29 Combine like terms: -29 + 29 = 0 0 + -10x = 21 + 29 -10x = 21 + 29 Combine like terms: 21 + 29 = 50 -10x = 50 Divide each side by '-10'. x = -5 Simplifying x = -5
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