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Simplifying 49 + -1(2x + 4) = 4(x + 6) + x Reorder the terms: 49 + -1(4 + 2x) = 4(x + 6) + x 49 + (4 * -1 + 2x * -1) = 4(x + 6) + x 49 + (-4 + -2x) = 4(x + 6) + x Combine like terms: 49 + -4 = 45 45 + -2x = 4(x + 6) + x Reorder the terms: 45 + -2x = 4(6 + x) + x 45 + -2x = (6 * 4 + x * 4) + x 45 + -2x = (24 + 4x) + x Combine like terms: 4x + x = 5x 45 + -2x = 24 + 5x Solving 45 + -2x = 24 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 45 + -2x + -5x = 24 + 5x + -5x Combine like terms: -2x + -5x = -7x 45 + -7x = 24 + 5x + -5x Combine like terms: 5x + -5x = 0 45 + -7x = 24 + 0 45 + -7x = 24 Add '-45' to each side of the equation. 45 + -45 + -7x = 24 + -45 Combine like terms: 45 + -45 = 0 0 + -7x = 24 + -45 -7x = 24 + -45 Combine like terms: 24 + -45 = -21 -7x = -21 Divide each side by '-7'. x = 3 Simplifying x = 3
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