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Simplifying 3x + -4(2 + -3) = 6(x + 4) + -15 Combine like terms: 2 + -3 = -1 3x + -4(-1) = 6(x + 4) + -15 Multiply -4 * -1 3x + 4 = 6(x + 4) + -15 Reorder the terms: 4 + 3x = 6(x + 4) + -15 Reorder the terms: 4 + 3x = 6(4 + x) + -15 4 + 3x = (4 * 6 + x * 6) + -15 4 + 3x = (24 + 6x) + -15 Reorder the terms: 4 + 3x = 24 + -15 + 6x Combine like terms: 24 + -15 = 9 4 + 3x = 9 + 6x Solving 4 + 3x = 9 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 4 + 3x + -6x = 9 + 6x + -6x Combine like terms: 3x + -6x = -3x 4 + -3x = 9 + 6x + -6x Combine like terms: 6x + -6x = 0 4 + -3x = 9 + 0 4 + -3x = 9 Add '-4' to each side of the equation. 4 + -4 + -3x = 9 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = 9 + -4 -3x = 9 + -4 Combine like terms: 9 + -4 = 5 -3x = 5 Divide each side by '-3'. x = -1.666666667 Simplifying x = -1.666666667
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