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Simplifying 10(2x + 1) = 8(3x + -1) Reorder the terms: 10(1 + 2x) = 8(3x + -1) (1 * 10 + 2x * 10) = 8(3x + -1) (10 + 20x) = 8(3x + -1) Reorder the terms: 10 + 20x = 8(-1 + 3x) 10 + 20x = (-1 * 8 + 3x * 8) 10 + 20x = (-8 + 24x) Solving 10 + 20x = -8 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 10 + 20x + -24x = -8 + 24x + -24x Combine like terms: 20x + -24x = -4x 10 + -4x = -8 + 24x + -24x Combine like terms: 24x + -24x = 0 10 + -4x = -8 + 0 10 + -4x = -8 Add '-10' to each side of the equation. 10 + -10 + -4x = -8 + -10 Combine like terms: 10 + -10 = 0 0 + -4x = -8 + -10 -4x = -8 + -10 Combine like terms: -8 + -10 = -18 -4x = -18 Divide each side by '-4'. x = 4.5 Simplifying x = 4.5
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