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Simplifying 6(3x + -2) = 5(2x + 6) Reorder the terms: 6(-2 + 3x) = 5(2x + 6) (-2 * 6 + 3x * 6) = 5(2x + 6) (-12 + 18x) = 5(2x + 6) Reorder the terms: -12 + 18x = 5(6 + 2x) -12 + 18x = (6 * 5 + 2x * 5) -12 + 18x = (30 + 10x) Solving -12 + 18x = 30 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -12 + 18x + -10x = 30 + 10x + -10x Combine like terms: 18x + -10x = 8x -12 + 8x = 30 + 10x + -10x Combine like terms: 10x + -10x = 0 -12 + 8x = 30 + 0 -12 + 8x = 30 Add '12' to each side of the equation. -12 + 12 + 8x = 30 + 12 Combine like terms: -12 + 12 = 0 0 + 8x = 30 + 12 8x = 30 + 12 Combine like terms: 30 + 12 = 42 8x = 42 Divide each side by '8'. x = 5.25 Simplifying x = 5.25
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