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Simplifying 2x + -10 + 2x = 3(4x + -6) + 6 Reorder the terms: -10 + 2x + 2x = 3(4x + -6) + 6 Combine like terms: 2x + 2x = 4x -10 + 4x = 3(4x + -6) + 6 Reorder the terms: -10 + 4x = 3(-6 + 4x) + 6 -10 + 4x = (-6 * 3 + 4x * 3) + 6 -10 + 4x = (-18 + 12x) + 6 Reorder the terms: -10 + 4x = -18 + 6 + 12x Combine like terms: -18 + 6 = -12 -10 + 4x = -12 + 12x Solving -10 + 4x = -12 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -10 + 4x + -12x = -12 + 12x + -12x Combine like terms: 4x + -12x = -8x -10 + -8x = -12 + 12x + -12x Combine like terms: 12x + -12x = 0 -10 + -8x = -12 + 0 -10 + -8x = -12 Add '10' to each side of the equation. -10 + 10 + -8x = -12 + 10 Combine like terms: -10 + 10 = 0 0 + -8x = -12 + 10 -8x = -12 + 10 Combine like terms: -12 + 10 = -2 -8x = -2 Divide each side by '-8'. x = 0.25 Simplifying x = 0.25
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