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Simplifying 5 + 2(4x + -6) = 7 + -5(2x + 1) Reorder the terms: 5 + 2(-6 + 4x) = 7 + -5(2x + 1) 5 + (-6 * 2 + 4x * 2) = 7 + -5(2x + 1) 5 + (-12 + 8x) = 7 + -5(2x + 1) Combine like terms: 5 + -12 = -7 -7 + 8x = 7 + -5(2x + 1) Reorder the terms: -7 + 8x = 7 + -5(1 + 2x) -7 + 8x = 7 + (1 * -5 + 2x * -5) -7 + 8x = 7 + (-5 + -10x) Combine like terms: 7 + -5 = 2 -7 + 8x = 2 + -10x Solving -7 + 8x = 2 + -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 + 8x + 10x = 2 + -10x + 10x Combine like terms: 8x + 10x = 18x -7 + 18x = 2 + -10x + 10x Combine like terms: -10x + 10x = 0 -7 + 18x = 2 + 0 -7 + 18x = 2 Add '7' to each side of the equation. -7 + 7 + 18x = 2 + 7 Combine like terms: -7 + 7 = 0 0 + 18x = 2 + 7 18x = 2 + 7 Combine like terms: 2 + 7 = 9 18x = 9 Divide each side by '18'. x = 0.5 Simplifying x = 0.5
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