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Simplifying 5(8x + 8) + -2(2 + -7x) = 12 + 55x Reorder the terms: 5(8 + 8x) + -2(2 + -7x) = 12 + 55x (8 * 5 + 8x * 5) + -2(2 + -7x) = 12 + 55x (40 + 40x) + -2(2 + -7x) = 12 + 55x 40 + 40x + (2 * -2 + -7x * -2) = 12 + 55x 40 + 40x + (-4 + 14x) = 12 + 55x Reorder the terms: 40 + -4 + 40x + 14x = 12 + 55x Combine like terms: 40 + -4 = 36 36 + 40x + 14x = 12 + 55x Combine like terms: 40x + 14x = 54x 36 + 54x = 12 + 55x Solving 36 + 54x = 12 + 55x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-55x' to each side of the equation. 36 + 54x + -55x = 12 + 55x + -55x Combine like terms: 54x + -55x = -1x 36 + -1x = 12 + 55x + -55x Combine like terms: 55x + -55x = 0 36 + -1x = 12 + 0 36 + -1x = 12 Add '-36' to each side of the equation. 36 + -36 + -1x = 12 + -36 Combine like terms: 36 + -36 = 0 0 + -1x = 12 + -36 -1x = 12 + -36 Combine like terms: 12 + -36 = -24 -1x = -24 Divide each side by '-1'. x = 24 Simplifying x = 24
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