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Simplifying 0.09(70) + 0.6x = 0.3(70 + x) Multiply 0.09 * 70 6.3 + 0.6x = 0.3(70 + x) 6.3 + 0.6x = (70 * 0.3 + x * 0.3) 6.3 + 0.6x = (21 + 0.3x) Solving 6.3 + 0.6x = 21 + 0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3x' to each side of the equation. 6.3 + 0.6x + -0.3x = 21 + 0.3x + -0.3x Combine like terms: 0.6x + -0.3x = 0.3x 6.3 + 0.3x = 21 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 6.3 + 0.3x = 21 + 0.0 6.3 + 0.3x = 21 Add '-6.3' to each side of the equation. 6.3 + -6.3 + 0.3x = 21 + -6.3 Combine like terms: 6.3 + -6.3 = 0.0 0.0 + 0.3x = 21 + -6.3 0.3x = 21 + -6.3 Combine like terms: 21 + -6.3 = 14.7 0.3x = 14.7 Divide each side by '0.3'. x = 49 Simplifying x = 49
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