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Simplifying 0.2x + 0.25(7) = 0.21(x + 7) Multiply 0.25 * 7 0.2x + 1.75 = 0.21(x + 7) Reorder the terms: 1.75 + 0.2x = 0.21(x + 7) Reorder the terms: 1.75 + 0.2x = 0.21(7 + x) 1.75 + 0.2x = (7 * 0.21 + x * 0.21) 1.75 + 0.2x = (1.47 + 0.21x) Solving 1.75 + 0.2x = 1.47 + 0.21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.21x' to each side of the equation. 1.75 + 0.2x + -0.21x = 1.47 + 0.21x + -0.21x Combine like terms: 0.2x + -0.21x = -0.01x 1.75 + -0.01x = 1.47 + 0.21x + -0.21x Combine like terms: 0.21x + -0.21x = 0.00 1.75 + -0.01x = 1.47 + 0.00 1.75 + -0.01x = 1.47 Add '-1.75' to each side of the equation. 1.75 + -1.75 + -0.01x = 1.47 + -1.75 Combine like terms: 1.75 + -1.75 = 0.00 0.00 + -0.01x = 1.47 + -1.75 -0.01x = 1.47 + -1.75 Combine like terms: 1.47 + -1.75 = -0.28 -0.01x = -0.28 Divide each side by '-0.01'. x = 28 Simplifying x = 28
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