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Simplifying 5(2x + -12) + 5 = 8(x + 11) + -18 Reorder the terms: 5(-12 + 2x) + 5 = 8(x + 11) + -18 (-12 * 5 + 2x * 5) + 5 = 8(x + 11) + -18 (-60 + 10x) + 5 = 8(x + 11) + -18 Reorder the terms: -60 + 5 + 10x = 8(x + 11) + -18 Combine like terms: -60 + 5 = -55 -55 + 10x = 8(x + 11) + -18 Reorder the terms: -55 + 10x = 8(11 + x) + -18 -55 + 10x = (11 * 8 + x * 8) + -18 -55 + 10x = (88 + 8x) + -18 Reorder the terms: -55 + 10x = 88 + -18 + 8x Combine like terms: 88 + -18 = 70 -55 + 10x = 70 + 8x Solving -55 + 10x = 70 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -55 + 10x + -8x = 70 + 8x + -8x Combine like terms: 10x + -8x = 2x -55 + 2x = 70 + 8x + -8x Combine like terms: 8x + -8x = 0 -55 + 2x = 70 + 0 -55 + 2x = 70 Add '55' to each side of the equation. -55 + 55 + 2x = 70 + 55 Combine like terms: -55 + 55 = 0 0 + 2x = 70 + 55 2x = 70 + 55 Combine like terms: 70 + 55 = 125 2x = 125 Divide each side by '2'. x = 62.5 Simplifying x = 62.5
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