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Simplifying 5x + 8 = 8 + -8(6x + -3) Reorder the terms: 8 + 5x = 8 + -8(6x + -3) Reorder the terms: 8 + 5x = 8 + -8(-3 + 6x) 8 + 5x = 8 + (-3 * -8 + 6x * -8) 8 + 5x = 8 + (24 + -48x) Combine like terms: 8 + 24 = 32 8 + 5x = 32 + -48x Solving 8 + 5x = 32 + -48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '48x' to each side of the equation. 8 + 5x + 48x = 32 + -48x + 48x Combine like terms: 5x + 48x = 53x 8 + 53x = 32 + -48x + 48x Combine like terms: -48x + 48x = 0 8 + 53x = 32 + 0 8 + 53x = 32 Add '-8' to each side of the equation. 8 + -8 + 53x = 32 + -8 Combine like terms: 8 + -8 = 0 0 + 53x = 32 + -8 53x = 32 + -8 Combine like terms: 32 + -8 = 24 53x = 24 Divide each side by '53'. x = 0.4528301887 Simplifying x = 0.4528301887
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