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Simplifying 0.90x + 0.15(70) = 0.80(x + 70) Multiply 0.15 * 70 0.90x + 10.5 = 0.80(x + 70) Reorder the terms: 10.5 + 0.90x = 0.80(x + 70) Reorder the terms: 10.5 + 0.90x = 0.80(70 + x) 10.5 + 0.90x = (70 * 0.80 + x * 0.80) 10.5 + 0.90x = (56 + 0.80x) Solving 10.5 + 0.90x = 56 + 0.80x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.80x' to each side of the equation. 10.5 + 0.90x + -0.80x = 56 + 0.80x + -0.80x Combine like terms: 0.90x + -0.80x = 0.1x 10.5 + 0.1x = 56 + 0.80x + -0.80x Combine like terms: 0.80x + -0.80x = 0.00 10.5 + 0.1x = 56 + 0.00 10.5 + 0.1x = 56 Add '-10.5' to each side of the equation. 10.5 + -10.5 + 0.1x = 56 + -10.5 Combine like terms: 10.5 + -10.5 = 0.0 0.0 + 0.1x = 56 + -10.5 0.1x = 56 + -10.5 Combine like terms: 56 + -10.5 = 45.5 0.1x = 45.5 Divide each side by '0.1'. x = 455 Simplifying x = 455
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