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Simplifying 4(x + 7) = 24(x + 1) Reorder the terms: 4(7 + x) = 24(x + 1) (7 * 4 + x * 4) = 24(x + 1) (28 + 4x) = 24(x + 1) Reorder the terms: 28 + 4x = 24(1 + x) 28 + 4x = (1 * 24 + x * 24) 28 + 4x = (24 + 24x) Solving 28 + 4x = 24 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 28 + 4x + -24x = 24 + 24x + -24x Combine like terms: 4x + -24x = -20x 28 + -20x = 24 + 24x + -24x Combine like terms: 24x + -24x = 0 28 + -20x = 24 + 0 28 + -20x = 24 Add '-28' to each side of the equation. 28 + -28 + -20x = 24 + -28 Combine like terms: 28 + -28 = 0 0 + -20x = 24 + -28 -20x = 24 + -28 Combine like terms: 24 + -28 = -4 -20x = -4 Divide each side by '-20'. x = 0.2 Simplifying x = 0.2
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