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Simplifying 8(4 + -2x) = 7x + 2 (4 * 8 + -2x * 8) = 7x + 2 (32 + -16x) = 7x + 2 Reorder the terms: 32 + -16x = 2 + 7x Solving 32 + -16x = 2 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 32 + -16x + -7x = 2 + 7x + -7x Combine like terms: -16x + -7x = -23x 32 + -23x = 2 + 7x + -7x Combine like terms: 7x + -7x = 0 32 + -23x = 2 + 0 32 + -23x = 2 Add '-32' to each side of the equation. 32 + -32 + -23x = 2 + -32 Combine like terms: 32 + -32 = 0 0 + -23x = 2 + -32 -23x = 2 + -32 Combine like terms: 2 + -32 = -30 -23x = -30 Divide each side by '-23'. x = 1.304347826 Simplifying x = 1.304347826
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