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Simplifying 0.15(x) + 0.20(7) = 0.16(x + 7) Multiply 0.20 * 7 0.15x + 1.4 = 0.16(x + 7) Reorder the terms: 1.4 + 0.15x = 0.16(x + 7) Reorder the terms: 1.4 + 0.15x = 0.16(7 + x) 1.4 + 0.15x = (7 * 0.16 + x * 0.16) 1.4 + 0.15x = (1.12 + 0.16x) Solving 1.4 + 0.15x = 1.12 + 0.16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.16x' to each side of the equation. 1.4 + 0.15x + -0.16x = 1.12 + 0.16x + -0.16x Combine like terms: 0.15x + -0.16x = -0.01x 1.4 + -0.01x = 1.12 + 0.16x + -0.16x Combine like terms: 0.16x + -0.16x = 0.00 1.4 + -0.01x = 1.12 + 0.00 1.4 + -0.01x = 1.12 Add '-1.4' to each side of the equation. 1.4 + -1.4 + -0.01x = 1.12 + -1.4 Combine like terms: 1.4 + -1.4 = 0.0 0.0 + -0.01x = 1.12 + -1.4 -0.01x = 1.12 + -1.4 Combine like terms: 1.12 + -1.4 = -0.28 -0.01x = -0.28 Divide each side by '-0.01'. x = 28 Simplifying x = 28
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