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Simplifying 6(x + 2) = 10x + -6 Reorder the terms: 6(2 + x) = 10x + -6 (2 * 6 + x * 6) = 10x + -6 (12 + 6x) = 10x + -6 Reorder the terms: 12 + 6x = -6 + 10x Solving 12 + 6x = -6 + 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 + 6x + -10x = -6 + 10x + -10x Combine like terms: 6x + -10x = -4x 12 + -4x = -6 + 10x + -10x Combine like terms: 10x + -10x = 0 12 + -4x = -6 + 0 12 + -4x = -6 Add '-12' to each side of the equation. 12 + -12 + -4x = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -4x = -6 + -12 -4x = -6 + -12 Combine like terms: -6 + -12 = -18 -4x = -18 Divide each side by '-4'. x = 4.5 Simplifying x = 4.5
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