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Simplifying 8x + -2 + 2x = 3(6x + -4) + 6 Reorder the terms: -2 + 8x + 2x = 3(6x + -4) + 6 Combine like terms: 8x + 2x = 10x -2 + 10x = 3(6x + -4) + 6 Reorder the terms: -2 + 10x = 3(-4 + 6x) + 6 -2 + 10x = (-4 * 3 + 6x * 3) + 6 -2 + 10x = (-12 + 18x) + 6 Reorder the terms: -2 + 10x = -12 + 6 + 18x Combine like terms: -12 + 6 = -6 -2 + 10x = -6 + 18x Solving -2 + 10x = -6 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -2 + 10x + -18x = -6 + 18x + -18x Combine like terms: 10x + -18x = -8x -2 + -8x = -6 + 18x + -18x Combine like terms: 18x + -18x = 0 -2 + -8x = -6 + 0 -2 + -8x = -6 Add '2' to each side of the equation. -2 + 2 + -8x = -6 + 2 Combine like terms: -2 + 2 = 0 0 + -8x = -6 + 2 -8x = -6 + 2 Combine like terms: -6 + 2 = -4 -8x = -4 Divide each side by '-8'. x = 0.5 Simplifying x = 0.5
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