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Simplifying 0.30(x) + 0.35(15) = 0.34(x + 16) Multiply 0.35 * 15 0.30x + 5.25 = 0.34(x + 16) Reorder the terms: 5.25 + 0.30x = 0.34(x + 16) Reorder the terms: 5.25 + 0.30x = 0.34(16 + x) 5.25 + 0.30x = (16 * 0.34 + x * 0.34) 5.25 + 0.30x = (5.44 + 0.34x) Solving 5.25 + 0.30x = 5.44 + 0.34x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.34x' to each side of the equation. 5.25 + 0.30x + -0.34x = 5.44 + 0.34x + -0.34x Combine like terms: 0.30x + -0.34x = -0.04x 5.25 + -0.04x = 5.44 + 0.34x + -0.34x Combine like terms: 0.34x + -0.34x = 0.00 5.25 + -0.04x = 5.44 + 0.00 5.25 + -0.04x = 5.44 Add '-5.25' to each side of the equation. 5.25 + -5.25 + -0.04x = 5.44 + -5.25 Combine like terms: 5.25 + -5.25 = 0.00 0.00 + -0.04x = 5.44 + -5.25 -0.04x = 5.44 + -5.25 Combine like terms: 5.44 + -5.25 = 0.19 -0.04x = 0.19 Divide each side by '-0.04'. x = -4.75 Simplifying x = -4.75
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