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Simplifying 4(2.3x + 7) = 1.2x + 52 Reorder the terms: 4(7 + 2.3x) = 1.2x + 52 (7 * 4 + 2.3x * 4) = 1.2x + 52 (28 + 9.2x) = 1.2x + 52 Reorder the terms: 28 + 9.2x = 52 + 1.2x Solving 28 + 9.2x = 52 + 1.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.2x' to each side of the equation. 28 + 9.2x + -1.2x = 52 + 1.2x + -1.2x Combine like terms: 9.2x + -1.2x = 8x 28 + 8x = 52 + 1.2x + -1.2x Combine like terms: 1.2x + -1.2x = 0.0 28 + 8x = 52 + 0.0 28 + 8x = 52 Add '-28' to each side of the equation. 28 + -28 + 8x = 52 + -28 Combine like terms: 28 + -28 = 0 0 + 8x = 52 + -28 8x = 52 + -28 Combine like terms: 52 + -28 = 24 8x = 24 Divide each side by '8'. x = 3 Simplifying x = 3
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