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Simplifying 10(x + 4) = 7x + 7 Reorder the terms: 10(4 + x) = 7x + 7 (4 * 10 + x * 10) = 7x + 7 (40 + 10x) = 7x + 7 Reorder the terms: 40 + 10x = 7 + 7x Solving 40 + 10x = 7 + 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. 40 + 10x + -7x = 7 + 7x + -7x Combine like terms: 10x + -7x = 3x 40 + 3x = 7 + 7x + -7x Combine like terms: 7x + -7x = 0 40 + 3x = 7 + 0 40 + 3x = 7 Add '-40' to each side of the equation. 40 + -40 + 3x = 7 + -40 Combine like terms: 40 + -40 = 0 0 + 3x = 7 + -40 3x = 7 + -40 Combine like terms: 7 + -40 = -33 3x = -33 Divide each side by '3'. x = -11 Simplifying x = -11
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