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Simplifying (7 + 2x)(4) = x(5) + 10 Reorder the terms for easier multiplication: 4(7 + 2x) = x(5) + 10 (7 * 4 + 2x * 4) = x(5) + 10 (28 + 8x) = x(5) + 10 Reorder the terms for easier multiplication: 28 + 8x = 5x + 10 Reorder the terms: 28 + 8x = 10 + 5x Solving 28 + 8x = 10 + 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. 28 + 8x + -5x = 10 + 5x + -5x Combine like terms: 8x + -5x = 3x 28 + 3x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 28 + 3x = 10 + 0 28 + 3x = 10 Add '-28' to each side of the equation. 28 + -28 + 3x = 10 + -28 Combine like terms: 28 + -28 = 0 0 + 3x = 10 + -28 3x = 10 + -28 Combine like terms: 10 + -28 = -18 3x = -18 Divide each side by '3'. x = -6 Simplifying x = -6
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