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Simplifying 5x + -3(x + 6) = 8(x + -7) Reorder the terms: 5x + -3(6 + x) = 8(x + -7) 5x + (6 * -3 + x * -3) = 8(x + -7) 5x + (-18 + -3x) = 8(x + -7) Reorder the terms: -18 + 5x + -3x = 8(x + -7) Combine like terms: 5x + -3x = 2x -18 + 2x = 8(x + -7) Reorder the terms: -18 + 2x = 8(-7 + x) -18 + 2x = (-7 * 8 + x * 8) -18 + 2x = (-56 + 8x) Solving -18 + 2x = -56 + 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. -18 + 2x + -8x = -56 + 8x + -8x Combine like terms: 2x + -8x = -6x -18 + -6x = -56 + 8x + -8x Combine like terms: 8x + -8x = 0 -18 + -6x = -56 + 0 -18 + -6x = -56 Add '18' to each side of the equation. -18 + 18 + -6x = -56 + 18 Combine like terms: -18 + 18 = 0 0 + -6x = -56 + 18 -6x = -56 + 18 Combine like terms: -56 + 18 = -38 -6x = -38 Divide each side by '-6'. x = 6.333333333 Simplifying x = 6.333333333
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