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Simplifying 3.6x + -1.5 + 4 = 0.2(14x + 18) + 1.3 Reorder the terms: -1.5 + 4 + 3.6x = 0.2(14x + 18) + 1.3 Combine like terms: -1.5 + 4 = 2.5 2.5 + 3.6x = 0.2(14x + 18) + 1.3 Reorder the terms: 2.5 + 3.6x = 0.2(18 + 14x) + 1.3 2.5 + 3.6x = (18 * 0.2 + 14x * 0.2) + 1.3 2.5 + 3.6x = (3.6 + 2.8x) + 1.3 Reorder the terms: 2.5 + 3.6x = 3.6 + 1.3 + 2.8x Combine like terms: 3.6 + 1.3 = 4.9 2.5 + 3.6x = 4.9 + 2.8x Solving 2.5 + 3.6x = 4.9 + 2.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.8x' to each side of the equation. 2.5 + 3.6x + -2.8x = 4.9 + 2.8x + -2.8x Combine like terms: 3.6x + -2.8x = 0.8x 2.5 + 0.8x = 4.9 + 2.8x + -2.8x Combine like terms: 2.8x + -2.8x = 0.0 2.5 + 0.8x = 4.9 + 0.0 2.5 + 0.8x = 4.9 Add '-2.5' to each side of the equation. 2.5 + -2.5 + 0.8x = 4.9 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + 0.8x = 4.9 + -2.5 0.8x = 4.9 + -2.5 Combine like terms: 4.9 + -2.5 = 2.4 0.8x = 2.4 Divide each side by '0.8'. x = 3 Simplifying x = 3
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