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Simplifying 6(4x + 3) + -2 = 5(2x + -7) + -5 Reorder the terms: 6(3 + 4x) + -2 = 5(2x + -7) + -5 (3 * 6 + 4x * 6) + -2 = 5(2x + -7) + -5 (18 + 24x) + -2 = 5(2x + -7) + -5 Reorder the terms: 18 + -2 + 24x = 5(2x + -7) + -5 Combine like terms: 18 + -2 = 16 16 + 24x = 5(2x + -7) + -5 Reorder the terms: 16 + 24x = 5(-7 + 2x) + -5 16 + 24x = (-7 * 5 + 2x * 5) + -5 16 + 24x = (-35 + 10x) + -5 Reorder the terms: 16 + 24x = -35 + -5 + 10x Combine like terms: -35 + -5 = -40 16 + 24x = -40 + 10x Solving 16 + 24x = -40 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 16 + 24x + -10x = -40 + 10x + -10x Combine like terms: 24x + -10x = 14x 16 + 14x = -40 + 10x + -10x Combine like terms: 10x + -10x = 0 16 + 14x = -40 + 0 16 + 14x = -40 Add '-16' to each side of the equation. 16 + -16 + 14x = -40 + -16 Combine like terms: 16 + -16 = 0 0 + 14x = -40 + -16 14x = -40 + -16 Combine like terms: -40 + -16 = -56 14x = -56 Divide each side by '14'. x = -4 Simplifying x = -4
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