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Simplifying 7x + 4(x + 11) = 10x + 100 Reorder the terms: 7x + 4(11 + x) = 10x + 100 7x + (11 * 4 + x * 4) = 10x + 100 7x + (44 + 4x) = 10x + 100 Reorder the terms: 44 + 7x + 4x = 10x + 100 Combine like terms: 7x + 4x = 11x 44 + 11x = 10x + 100 Reorder the terms: 44 + 11x = 100 + 10x Solving 44 + 11x = 100 + 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. 44 + 11x + -10x = 100 + 10x + -10x Combine like terms: 11x + -10x = 1x 44 + 1x = 100 + 10x + -10x Combine like terms: 10x + -10x = 0 44 + 1x = 100 + 0 44 + 1x = 100 Add '-44' to each side of the equation. 44 + -44 + 1x = 100 + -44 Combine like terms: 44 + -44 = 0 0 + 1x = 100 + -44 1x = 100 + -44 Combine like terms: 100 + -44 = 56 1x = 56 Divide each side by '1'. x = 56 Simplifying x = 56
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