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Simplifying 6x + -1(4x + -7) = 5(x + 3) Reorder the terms: 6x + -1(-7 + 4x) = 5(x + 3) 6x + (-7 * -1 + 4x * -1) = 5(x + 3) 6x + (7 + -4x) = 5(x + 3) Reorder the terms: 7 + 6x + -4x = 5(x + 3) Combine like terms: 6x + -4x = 2x 7 + 2x = 5(x + 3) Reorder the terms: 7 + 2x = 5(3 + x) 7 + 2x = (3 * 5 + x * 5) 7 + 2x = (15 + 5x) Solving 7 + 2x = 15 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 7 + 2x + -5x = 15 + 5x + -5x Combine like terms: 2x + -5x = -3x 7 + -3x = 15 + 5x + -5x Combine like terms: 5x + -5x = 0 7 + -3x = 15 + 0 7 + -3x = 15 Add '-7' to each side of the equation. 7 + -7 + -3x = 15 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = 15 + -7 -3x = 15 + -7 Combine like terms: 15 + -7 = 8 -3x = 8 Divide each side by '-3'. x = -2.666666667 Simplifying x = -2.666666667
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