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Simplifying 0.2x + 0.25(6) = 0.21(x + 6) Multiply 0.25 * 6 0.2x + 1.5 = 0.21(x + 6) Reorder the terms: 1.5 + 0.2x = 0.21(x + 6) Reorder the terms: 1.5 + 0.2x = 0.21(6 + x) 1.5 + 0.2x = (6 * 0.21 + x * 0.21) 1.5 + 0.2x = (1.26 + 0.21x) Solving 1.5 + 0.2x = 1.26 + 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. 1.5 + 0.2x + -0.21x = 1.26 + 0.21x + -0.21x Combine like terms: 0.2x + -0.21x = -0.01x 1.5 + -0.01x = 1.26 + 0.21x + -0.21x Combine like terms: 0.21x + -0.21x = 0.00 1.5 + -0.01x = 1.26 + 0.00 1.5 + -0.01x = 1.26 Add '-1.5' to each side of the equation. 1.5 + -1.5 + -0.01x = 1.26 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -0.01x = 1.26 + -1.5 -0.01x = 1.26 + -1.5 Combine like terms: 1.26 + -1.5 = -0.24 -0.01x = -0.24 Divide each side by '-0.01'. x = 24 Simplifying x = 24
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