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Simplifying 14.53 + 0.11(x + 3) = 15.03 + 0.15x Reorder the terms: 14.53 + 0.11(3 + x) = 15.03 + 0.15x 14.53 + (3 * 0.11 + x * 0.11) = 15.03 + 0.15x 14.53 + (0.33 + 0.11x) = 15.03 + 0.15x Combine like terms: 14.53 + 0.33 = 14.86 14.86 + 0.11x = 15.03 + 0.15x Solving 14.86 + 0.11x = 15.03 + 0.15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.15x' to each side of the equation. 14.86 + 0.11x + -0.15x = 15.03 + 0.15x + -0.15x Combine like terms: 0.11x + -0.15x = -0.04x 14.86 + -0.04x = 15.03 + 0.15x + -0.15x Combine like terms: 0.15x + -0.15x = 0.00 14.86 + -0.04x = 15.03 + 0.00 14.86 + -0.04x = 15.03 Add '-14.86' to each side of the equation. 14.86 + -14.86 + -0.04x = 15.03 + -14.86 Combine like terms: 14.86 + -14.86 = 0.00 0.00 + -0.04x = 15.03 + -14.86 -0.04x = 15.03 + -14.86 Combine like terms: 15.03 + -14.86 = 0.17 -0.04x = 0.17 Divide each side by '-0.04'. x = -4.25 Simplifying x = -4.25
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