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Simplifying 1.6x + 15(2.80) = 2(x + 15) Multiply 15 * 2.80 1.6x + 42 = 2(x + 15) Reorder the terms: 42 + 1.6x = 2(x + 15) Reorder the terms: 42 + 1.6x = 2(15 + x) 42 + 1.6x = (15 * 2 + x * 2) 42 + 1.6x = (30 + 2x) Solving 42 + 1.6x = 30 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 42 + 1.6x + -2x = 30 + 2x + -2x Combine like terms: 1.6x + -2x = -0.4x 42 + -0.4x = 30 + 2x + -2x Combine like terms: 2x + -2x = 0 42 + -0.4x = 30 + 0 42 + -0.4x = 30 Add '-42' to each side of the equation. 42 + -42 + -0.4x = 30 + -42 Combine like terms: 42 + -42 = 0 0 + -0.4x = 30 + -42 -0.4x = 30 + -42 Combine like terms: 30 + -42 = -12 -0.4x = -12 Divide each side by '-0.4'. x = 30 Simplifying x = 30
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