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Simplifying 6(2x + -5) + 29 = 3x + -7(11 + -4x) Reorder the terms: 6(-5 + 2x) + 29 = 3x + -7(11 + -4x) (-5 * 6 + 2x * 6) + 29 = 3x + -7(11 + -4x) (-30 + 12x) + 29 = 3x + -7(11 + -4x) Reorder the terms: -30 + 29 + 12x = 3x + -7(11 + -4x) Combine like terms: -30 + 29 = -1 -1 + 12x = 3x + -7(11 + -4x) -1 + 12x = 3x + (11 * -7 + -4x * -7) -1 + 12x = 3x + (-77 + 28x) Reorder the terms: -1 + 12x = -77 + 3x + 28x Combine like terms: 3x + 28x = 31x -1 + 12x = -77 + 31x Solving -1 + 12x = -77 + 31x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-31x' to each side of the equation. -1 + 12x + -31x = -77 + 31x + -31x Combine like terms: 12x + -31x = -19x -1 + -19x = -77 + 31x + -31x Combine like terms: 31x + -31x = 0 -1 + -19x = -77 + 0 -1 + -19x = -77 Add '1' to each side of the equation. -1 + 1 + -19x = -77 + 1 Combine like terms: -1 + 1 = 0 0 + -19x = -77 + 1 -19x = -77 + 1 Combine like terms: -77 + 1 = -76 -19x = -76 Divide each side by '-19'. x = 4 Simplifying x = 4
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