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Simplifying 2(3x + -5) + 6 = 8(3x + 1) + -12 Reorder the terms: 2(-5 + 3x) + 6 = 8(3x + 1) + -12 (-5 * 2 + 3x * 2) + 6 = 8(3x + 1) + -12 (-10 + 6x) + 6 = 8(3x + 1) + -12 Reorder the terms: -10 + 6 + 6x = 8(3x + 1) + -12 Combine like terms: -10 + 6 = -4 -4 + 6x = 8(3x + 1) + -12 Reorder the terms: -4 + 6x = 8(1 + 3x) + -12 -4 + 6x = (1 * 8 + 3x * 8) + -12 -4 + 6x = (8 + 24x) + -12 Reorder the terms: -4 + 6x = 8 + -12 + 24x Combine like terms: 8 + -12 = -4 -4 + 6x = -4 + 24x Add '4' to each side of the equation. -4 + 4 + 6x = -4 + 4 + 24x Combine like terms: -4 + 4 = 0 0 + 6x = -4 + 4 + 24x 6x = -4 + 4 + 24x Combine like terms: -4 + 4 = 0 6x = 0 + 24x 6x = 24x Solving 6x = 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 6x + -24x = 24x + -24x Combine like terms: 6x + -24x = -18x -18x = 24x + -24x Combine like terms: 24x + -24x = 0 -18x = 0 Divide each side by '-18'. x = 0 Simplifying x = 0
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