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Simplifying 0.7(2x + 10) = 0.2(11x + 15) Reorder the terms: 0.7(10 + 2x) = 0.2(11x + 15) (10 * 0.7 + 2x * 0.7) = 0.2(11x + 15) (7 + 1.4x) = 0.2(11x + 15) Reorder the terms: 7 + 1.4x = 0.2(15 + 11x) 7 + 1.4x = (15 * 0.2 + 11x * 0.2) 7 + 1.4x = (3 + 2.2x) Solving 7 + 1.4x = 3 + 2.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.2x' to each side of the equation. 7 + 1.4x + -2.2x = 3 + 2.2x + -2.2x Combine like terms: 1.4x + -2.2x = -0.8x 7 + -0.8x = 3 + 2.2x + -2.2x Combine like terms: 2.2x + -2.2x = 0.0 7 + -0.8x = 3 + 0.0 7 + -0.8x = 3 Add '-7' to each side of the equation. 7 + -7 + -0.8x = 3 + -7 Combine like terms: 7 + -7 = 0 0 + -0.8x = 3 + -7 -0.8x = 3 + -7 Combine like terms: 3 + -7 = -4 -0.8x = -4 Divide each side by '-0.8'. x = 5 Simplifying x = 5
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