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Simplifying 5(x + -2) + -8 = 4(x + 12) + -1 Reorder the terms: 5(-2 + x) + -8 = 4(x + 12) + -1 (-2 * 5 + x * 5) + -8 = 4(x + 12) + -1 (-10 + 5x) + -8 = 4(x + 12) + -1 Reorder the terms: -10 + -8 + 5x = 4(x + 12) + -1 Combine like terms: -10 + -8 = -18 -18 + 5x = 4(x + 12) + -1 Reorder the terms: -18 + 5x = 4(12 + x) + -1 -18 + 5x = (12 * 4 + x * 4) + -1 -18 + 5x = (48 + 4x) + -1 Reorder the terms: -18 + 5x = 48 + -1 + 4x Combine like terms: 48 + -1 = 47 -18 + 5x = 47 + 4x Solving -18 + 5x = 47 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -18 + 5x + -4x = 47 + 4x + -4x Combine like terms: 5x + -4x = 1x -18 + 1x = 47 + 4x + -4x Combine like terms: 4x + -4x = 0 -18 + 1x = 47 + 0 -18 + 1x = 47 Add '18' to each side of the equation. -18 + 18 + 1x = 47 + 18 Combine like terms: -18 + 18 = 0 0 + 1x = 47 + 18 1x = 47 + 18 Combine like terms: 47 + 18 = 65 1x = 65 Divide each side by '1'. x = 65 Simplifying x = 65
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