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Simplifying 4(-7x + 8) = 10x + 9 Reorder the terms: 4(8 + -7x) = 10x + 9 (8 * 4 + -7x * 4) = 10x + 9 (32 + -28x) = 10x + 9 Reorder the terms: 32 + -28x = 9 + 10x Solving 32 + -28x = 9 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 32 + -28x + -10x = 9 + 10x + -10x Combine like terms: -28x + -10x = -38x 32 + -38x = 9 + 10x + -10x Combine like terms: 10x + -10x = 0 32 + -38x = 9 + 0 32 + -38x = 9 Add '-32' to each side of the equation. 32 + -32 + -38x = 9 + -32 Combine like terms: 32 + -32 = 0 0 + -38x = 9 + -32 -38x = 9 + -32 Combine like terms: 9 + -32 = -23 -38x = -23 Divide each side by '-38'. x = 0.6052631579 Simplifying x = 0.6052631579
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