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Simplifying 2(x + -3) + 5x = 8(x + -1) Reorder the terms: 2(-3 + x) + 5x = 8(x + -1) (-3 * 2 + x * 2) + 5x = 8(x + -1) (-6 + 2x) + 5x = 8(x + -1) Combine like terms: 2x + 5x = 7x -6 + 7x = 8(x + -1) Reorder the terms: -6 + 7x = 8(-1 + x) -6 + 7x = (-1 * 8 + x * 8) -6 + 7x = (-8 + 8x) Solving -6 + 7x = -8 + 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. -6 + 7x + -8x = -8 + 8x + -8x Combine like terms: 7x + -8x = -1x -6 + -1x = -8 + 8x + -8x Combine like terms: 8x + -8x = 0 -6 + -1x = -8 + 0 -6 + -1x = -8 Add '6' to each side of the equation. -6 + 6 + -1x = -8 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = -8 + 6 -1x = -8 + 6 Combine like terms: -8 + 6 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2
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