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Simplifying 4(2x + 7) = 10x + 7 Reorder the terms: 4(7 + 2x) = 10x + 7 (7 * 4 + 2x * 4) = 10x + 7 (28 + 8x) = 10x + 7 Reorder the terms: 28 + 8x = 7 + 10x Solving 28 + 8x = 7 + 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. 28 + 8x + -10x = 7 + 10x + -10x Combine like terms: 8x + -10x = -2x 28 + -2x = 7 + 10x + -10x Combine like terms: 10x + -10x = 0 28 + -2x = 7 + 0 28 + -2x = 7 Add '-28' to each side of the equation. 28 + -28 + -2x = 7 + -28 Combine like terms: 28 + -28 = 0 0 + -2x = 7 + -28 -2x = 7 + -28 Combine like terms: 7 + -28 = -21 -2x = -21 Divide each side by '-2'. x = 10.5 Simplifying x = 10.5
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