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Simplifying 5(4x + -3) + -3(4x) = 15 + 2(x + -13) Reorder the terms: 5(-3 + 4x) + -3(4x) = 15 + 2(x + -13) (-3 * 5 + 4x * 5) + -3(4x) = 15 + 2(x + -13) (-15 + 20x) + -3(4x) = 15 + 2(x + -13) Remove parenthesis around (4x) -15 + 20x + -3 * 4x = 15 + 2(x + -13) Multiply -3 * 4 -15 + 20x + -12x = 15 + 2(x + -13) Combine like terms: 20x + -12x = 8x -15 + 8x = 15 + 2(x + -13) Reorder the terms: -15 + 8x = 15 + 2(-13 + x) -15 + 8x = 15 + (-13 * 2 + x * 2) -15 + 8x = 15 + (-26 + 2x) Combine like terms: 15 + -26 = -11 -15 + 8x = -11 + 2x Solving -15 + 8x = -11 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -15 + 8x + -2x = -11 + 2x + -2x Combine like terms: 8x + -2x = 6x -15 + 6x = -11 + 2x + -2x Combine like terms: 2x + -2x = 0 -15 + 6x = -11 + 0 -15 + 6x = -11 Add '15' to each side of the equation. -15 + 15 + 6x = -11 + 15 Combine like terms: -15 + 15 = 0 0 + 6x = -11 + 15 6x = -11 + 15 Combine like terms: -11 + 15 = 4 6x = 4 Divide each side by '6'. x = 0.6666666667 Simplifying x = 0.6666666667
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