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Simplifying 62 = -1(-4x + 6) + 8(2 + 6x) Reorder the terms: 62 = -1(6 + -4x) + 8(2 + 6x) 62 = (6 * -1 + -4x * -1) + 8(2 + 6x) 62 = (-6 + 4x) + 8(2 + 6x) 62 = -6 + 4x + (2 * 8 + 6x * 8) 62 = -6 + 4x + (16 + 48x) Reorder the terms: 62 = -6 + 16 + 4x + 48x Combine like terms: -6 + 16 = 10 62 = 10 + 4x + 48x Combine like terms: 4x + 48x = 52x 62 = 10 + 52x Solving 62 = 10 + 52x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-52x' to each side of the equation. 62 + -52x = 10 + 52x + -52x Combine like terms: 52x + -52x = 0 62 + -52x = 10 + 0 62 + -52x = 10 Add '-62' to each side of the equation. 62 + -62 + -52x = 10 + -62 Combine like terms: 62 + -62 = 0 0 + -52x = 10 + -62 -52x = 10 + -62 Combine like terms: 10 + -62 = -52 -52x = -52 Divide each side by '-52'. x = 1 Simplifying x = 1
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