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Simplifying 4(25.5 + x) + 1 = 1.5(x + 4 * 25.5 + -9) (25.5 * 4 + x * 4) + 1 = 1.5(x + 4 * 25.5 + -9) (102 + 4x) + 1 = 1.5(x + 4 * 25.5 + -9) Reorder the terms: 102 + 1 + 4x = 1.5(x + 4 * 25.5 + -9) Combine like terms: 102 + 1 = 103 103 + 4x = 1.5(x + 4 * 25.5 + -9) Multiply 4 * 25.5 103 + 4x = 1.5(x + 102 + -9) Reorder the terms: 103 + 4x = 1.5(102 + -9 + x) Combine like terms: 102 + -9 = 93 103 + 4x = 1.5(93 + x) 103 + 4x = (93 * 1.5 + x * 1.5) 103 + 4x = (139.5 + 1.5x) Solving 103 + 4x = 139.5 + 1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5x' to each side of the equation. 103 + 4x + -1.5x = 139.5 + 1.5x + -1.5x Combine like terms: 4x + -1.5x = 2.5x 103 + 2.5x = 139.5 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 103 + 2.5x = 139.5 + 0.0 103 + 2.5x = 139.5 Add '-103' to each side of the equation. 103 + -103 + 2.5x = 139.5 + -103 Combine like terms: 103 + -103 = 0 0 + 2.5x = 139.5 + -103 2.5x = 139.5 + -103 Combine like terms: 139.5 + -103 = 36.5 2.5x = 36.5 Divide each side by '2.5'. x = 14.6 Simplifying x = 14.6
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