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Simplifying 7 + 5(3x + -3) = -2(4x + -1) + 8x Reorder the terms: 7 + 5(-3 + 3x) = -2(4x + -1) + 8x 7 + (-3 * 5 + 3x * 5) = -2(4x + -1) + 8x 7 + (-15 + 15x) = -2(4x + -1) + 8x Combine like terms: 7 + -15 = -8 -8 + 15x = -2(4x + -1) + 8x Reorder the terms: -8 + 15x = -2(-1 + 4x) + 8x -8 + 15x = (-1 * -2 + 4x * -2) + 8x -8 + 15x = (2 + -8x) + 8x Combine like terms: -8x + 8x = 0 -8 + 15x = 2 + 0 -8 + 15x = 2 Solving -8 + 15x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 15x = 2 + 8 Combine like terms: -8 + 8 = 0 0 + 15x = 2 + 8 15x = 2 + 8 Combine like terms: 2 + 8 = 10 15x = 10 Divide each side by '15'. x = 0.6666666667 Simplifying x = 0.6666666667
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