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Simplifying 1.6x + 45 = 1.9(18 + x) Reorder the terms: 45 + 1.6x = 1.9(18 + x) 45 + 1.6x = (18 * 1.9 + x * 1.9) 45 + 1.6x = (34.2 + 1.9x) Solving 45 + 1.6x = 34.2 + 1.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.9x' to each side of the equation. 45 + 1.6x + -1.9x = 34.2 + 1.9x + -1.9x Combine like terms: 1.6x + -1.9x = -0.3x 45 + -0.3x = 34.2 + 1.9x + -1.9x Combine like terms: 1.9x + -1.9x = 0.0 45 + -0.3x = 34.2 + 0.0 45 + -0.3x = 34.2 Add '-45' to each side of the equation. 45 + -45 + -0.3x = 34.2 + -45 Combine like terms: 45 + -45 = 0 0 + -0.3x = 34.2 + -45 -0.3x = 34.2 + -45 Combine like terms: 34.2 + -45 = -10.8 -0.3x = -10.8 Divide each side by '-0.3'. x = 36 Simplifying x = 36
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