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Simplifying 7(x + 4) = 15x + -24 Reorder the terms: 7(4 + x) = 15x + -24 (4 * 7 + x * 7) = 15x + -24 (28 + 7x) = 15x + -24 Reorder the terms: 28 + 7x = -24 + 15x Solving 28 + 7x = -24 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 28 + 7x + -15x = -24 + 15x + -15x Combine like terms: 7x + -15x = -8x 28 + -8x = -24 + 15x + -15x Combine like terms: 15x + -15x = 0 28 + -8x = -24 + 0 28 + -8x = -24 Add '-28' to each side of the equation. 28 + -28 + -8x = -24 + -28 Combine like terms: 28 + -28 = 0 0 + -8x = -24 + -28 -8x = -24 + -28 Combine like terms: -24 + -28 = -52 -8x = -52 Divide each side by '-8'. x = 6.5 Simplifying x = 6.5
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