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Simplifying 3x + 4 + -5(x + -6) = 7(8x + 9) Reorder the terms: 3x + 4 + -5(-6 + x) = 7(8x + 9) 3x + 4 + (-6 * -5 + x * -5) = 7(8x + 9) 3x + 4 + (30 + -5x) = 7(8x + 9) Reorder the terms: 4 + 30 + 3x + -5x = 7(8x + 9) Combine like terms: 4 + 30 = 34 34 + 3x + -5x = 7(8x + 9) Combine like terms: 3x + -5x = -2x 34 + -2x = 7(8x + 9) Reorder the terms: 34 + -2x = 7(9 + 8x) 34 + -2x = (9 * 7 + 8x * 7) 34 + -2x = (63 + 56x) Solving 34 + -2x = 63 + 56x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-56x' to each side of the equation. 34 + -2x + -56x = 63 + 56x + -56x Combine like terms: -2x + -56x = -58x 34 + -58x = 63 + 56x + -56x Combine like terms: 56x + -56x = 0 34 + -58x = 63 + 0 34 + -58x = 63 Add '-34' to each side of the equation. 34 + -34 + -58x = 63 + -34 Combine like terms: 34 + -34 = 0 0 + -58x = 63 + -34 -58x = 63 + -34 Combine like terms: 63 + -34 = 29 -58x = 29 Divide each side by '-58'. x = -0.5 Simplifying x = -0.5
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