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Simplifying 3(6x + -8) + 10 = (x + -2) + -1(-4 + 3x) Reorder the terms: 3(-8 + 6x) + 10 = (x + -2) + -1(-4 + 3x) (-8 * 3 + 6x * 3) + 10 = (x + -2) + -1(-4 + 3x) (-24 + 18x) + 10 = (x + -2) + -1(-4 + 3x) Reorder the terms: -24 + 10 + 18x = (x + -2) + -1(-4 + 3x) Combine like terms: -24 + 10 = -14 -14 + 18x = (x + -2) + -1(-4 + 3x) Reorder the terms: -14 + 18x = (-2 + x) + -1(-4 + 3x) Remove parenthesis around (-2 + x) -14 + 18x = -2 + x + -1(-4 + 3x) -14 + 18x = -2 + x + (-4 * -1 + 3x * -1) -14 + 18x = -2 + x + (4 + -3x) Reorder the terms: -14 + 18x = -2 + 4 + x + -3x Combine like terms: -2 + 4 = 2 -14 + 18x = 2 + x + -3x Combine like terms: x + -3x = -2x -14 + 18x = 2 + -2x Solving -14 + 18x = 2 + -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. -14 + 18x + 2x = 2 + -2x + 2x Combine like terms: 18x + 2x = 20x -14 + 20x = 2 + -2x + 2x Combine like terms: -2x + 2x = 0 -14 + 20x = 2 + 0 -14 + 20x = 2 Add '14' to each side of the equation. -14 + 14 + 20x = 2 + 14 Combine like terms: -14 + 14 = 0 0 + 20x = 2 + 14 20x = 2 + 14 Combine like terms: 2 + 14 = 16 20x = 16 Divide each side by '20'. x = 0.8 Simplifying x = 0.8
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