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Simplifying 5(x + -3) + 7 = 8x + -6 Reorder the terms: 5(-3 + x) + 7 = 8x + -6 (-3 * 5 + x * 5) + 7 = 8x + -6 (-15 + 5x) + 7 = 8x + -6 Reorder the terms: -15 + 7 + 5x = 8x + -6 Combine like terms: -15 + 7 = -8 -8 + 5x = 8x + -6 Reorder the terms: -8 + 5x = -6 + 8x Solving -8 + 5x = -6 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -8 + 5x + -8x = -6 + 8x + -8x Combine like terms: 5x + -8x = -3x -8 + -3x = -6 + 8x + -8x Combine like terms: 8x + -8x = 0 -8 + -3x = -6 + 0 -8 + -3x = -6 Add '8' to each side of the equation. -8 + 8 + -3x = -6 + 8 Combine like terms: -8 + 8 = 0 0 + -3x = -6 + 8 -3x = -6 + 8 Combine like terms: -6 + 8 = 2 -3x = 2 Divide each side by '-3'. x = -0.6666666667 Simplifying x = -0.6666666667
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