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Simplifying 5 + 2(3x + -6) = 6 + -5(2x + 1) Reorder the terms: 5 + 2(-6 + 3x) = 6 + -5(2x + 1) 5 + (-6 * 2 + 3x * 2) = 6 + -5(2x + 1) 5 + (-12 + 6x) = 6 + -5(2x + 1) Combine like terms: 5 + -12 = -7 -7 + 6x = 6 + -5(2x + 1) Reorder the terms: -7 + 6x = 6 + -5(1 + 2x) -7 + 6x = 6 + (1 * -5 + 2x * -5) -7 + 6x = 6 + (-5 + -10x) Combine like terms: 6 + -5 = 1 -7 + 6x = 1 + -10x Solving -7 + 6x = 1 + -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. -7 + 6x + 10x = 1 + -10x + 10x Combine like terms: 6x + 10x = 16x -7 + 16x = 1 + -10x + 10x Combine like terms: -10x + 10x = 0 -7 + 16x = 1 + 0 -7 + 16x = 1 Add '7' to each side of the equation. -7 + 7 + 16x = 1 + 7 Combine like terms: -7 + 7 = 0 0 + 16x = 1 + 7 16x = 1 + 7 Combine like terms: 1 + 7 = 8 16x = 8 Divide each side by '16'. x = 0.5 Simplifying x = 0.5
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