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Simplifying -0.143(70) + 0.6x = 0.2(70 + x) Multiply -0.143 * 70 -10.01 + 0.6x = 0.2(70 + x) -10.01 + 0.6x = (70 * 0.2 + x * 0.2) -10.01 + 0.6x = (14 + 0.2x) Solving -10.01 + 0.6x = 14 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. -10.01 + 0.6x + -0.2x = 14 + 0.2x + -0.2x Combine like terms: 0.6x + -0.2x = 0.4x -10.01 + 0.4x = 14 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 -10.01 + 0.4x = 14 + 0.0 -10.01 + 0.4x = 14 Add '10.01' to each side of the equation. -10.01 + 10.01 + 0.4x = 14 + 10.01 Combine like terms: -10.01 + 10.01 = 0.00 0.00 + 0.4x = 14 + 10.01 0.4x = 14 + 10.01 Combine like terms: 14 + 10.01 = 24.01 0.4x = 24.01 Divide each side by '0.4'. x = 60.025 Simplifying x = 60.025
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