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Simplifying 4(2x + -5) = 5 + -2(x + 6) Reorder the terms: 4(-5 + 2x) = 5 + -2(x + 6) (-5 * 4 + 2x * 4) = 5 + -2(x + 6) (-20 + 8x) = 5 + -2(x + 6) Reorder the terms: -20 + 8x = 5 + -2(6 + x) -20 + 8x = 5 + (6 * -2 + x * -2) -20 + 8x = 5 + (-12 + -2x) Combine like terms: 5 + -12 = -7 -20 + 8x = -7 + -2x Solving -20 + 8x = -7 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -20 + 8x + 2x = -7 + -2x + 2x Combine like terms: 8x + 2x = 10x -20 + 10x = -7 + -2x + 2x Combine like terms: -2x + 2x = 0 -20 + 10x = -7 + 0 -20 + 10x = -7 Add '20' to each side of the equation. -20 + 20 + 10x = -7 + 20 Combine like terms: -20 + 20 = 0 0 + 10x = -7 + 20 10x = -7 + 20 Combine like terms: -7 + 20 = 13 10x = 13 Divide each side by '10'. x = 1.3 Simplifying x = 1.3
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