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Simplifying 2.18 = [(4x + 1) * 0.12] + 0.10x Reorder the terms: 2.18 = [(1 + 4x) * 0.12] + 0.10x Reorder the terms for easier multiplication: 2.18 = [0.12(1 + 4x)] + 0.10x 2.18 = [(1 * 0.12 + 4x * 0.12)] + 0.10x 2.18 = [(0.12 + 0.48x)] + 0.10x 2.18 = [0.12 + 0.48x] + 0.10x Remove brackets around [0.12 + 0.48x] 2.18 = 0.12 + 0.48x + 0.10x Combine like terms: 0.48x + 0.10x = 0.58x 2.18 = 0.12 + 0.58x Solving 2.18 = 0.12 + 0.58x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.58x' to each side of the equation. 2.18 + -0.58x = 0.12 + 0.58x + -0.58x Combine like terms: 0.58x + -0.58x = 0.00 2.18 + -0.58x = 0.12 + 0.00 2.18 + -0.58x = 0.12 Add '-2.18' to each side of the equation. 2.18 + -2.18 + -0.58x = 0.12 + -2.18 Combine like terms: 2.18 + -2.18 = 0.00 0.00 + -0.58x = 0.12 + -2.18 -0.58x = 0.12 + -2.18 Combine like terms: 0.12 + -2.18 = -2.06 -0.58x = -2.06 Divide each side by '-0.58'. x = 3.551724138 Simplifying x = 3.551724138
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