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Simplifying 6(2x + -5) = 5(3x + 7) Reorder the terms: 6(-5 + 2x) = 5(3x + 7) (-5 * 6 + 2x * 6) = 5(3x + 7) (-30 + 12x) = 5(3x + 7) Reorder the terms: -30 + 12x = 5(7 + 3x) -30 + 12x = (7 * 5 + 3x * 5) -30 + 12x = (35 + 15x) Solving -30 + 12x = 35 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -30 + 12x + -15x = 35 + 15x + -15x Combine like terms: 12x + -15x = -3x -30 + -3x = 35 + 15x + -15x Combine like terms: 15x + -15x = 0 -30 + -3x = 35 + 0 -30 + -3x = 35 Add '30' to each side of the equation. -30 + 30 + -3x = 35 + 30 Combine like terms: -30 + 30 = 0 0 + -3x = 35 + 30 -3x = 35 + 30 Combine like terms: 35 + 30 = 65 -3x = 65 Divide each side by '-3'. x = -21.66666667 Simplifying x = -21.66666667
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