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Simplifying 7(x + 1) = 10x + 4 Reorder the terms: 7(1 + x) = 10x + 4 (1 * 7 + x * 7) = 10x + 4 (7 + 7x) = 10x + 4 Reorder the terms: 7 + 7x = 4 + 10x Solving 7 + 7x = 4 + 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. 7 + 7x + -10x = 4 + 10x + -10x Combine like terms: 7x + -10x = -3x 7 + -3x = 4 + 10x + -10x Combine like terms: 10x + -10x = 0 7 + -3x = 4 + 0 7 + -3x = 4 Add '-7' to each side of the equation. 7 + -7 + -3x = 4 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = 4 + -7 -3x = 4 + -7 Combine like terms: 4 + -7 = -3 -3x = -3 Divide each side by '-3'. x = 1 Simplifying x = 1
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