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Simplifying 3(2x + 5) + 14 = 4(3x + -7) + -3 Reorder the terms: 3(5 + 2x) + 14 = 4(3x + -7) + -3 (5 * 3 + 2x * 3) + 14 = 4(3x + -7) + -3 (15 + 6x) + 14 = 4(3x + -7) + -3 Reorder the terms: 15 + 14 + 6x = 4(3x + -7) + -3 Combine like terms: 15 + 14 = 29 29 + 6x = 4(3x + -7) + -3 Reorder the terms: 29 + 6x = 4(-7 + 3x) + -3 29 + 6x = (-7 * 4 + 3x * 4) + -3 29 + 6x = (-28 + 12x) + -3 Reorder the terms: 29 + 6x = -28 + -3 + 12x Combine like terms: -28 + -3 = -31 29 + 6x = -31 + 12x Solving 29 + 6x = -31 + 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 + 6x + -12x = -31 + 12x + -12x Combine like terms: 6x + -12x = -6x 29 + -6x = -31 + 12x + -12x Combine like terms: 12x + -12x = 0 29 + -6x = -31 + 0 29 + -6x = -31 Add '-29' to each side of the equation. 29 + -29 + -6x = -31 + -29 Combine like terms: 29 + -29 = 0 0 + -6x = -31 + -29 -6x = -31 + -29 Combine like terms: -31 + -29 = -60 -6x = -60 Divide each side by '-6'. x = 10 Simplifying x = 10
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