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Simplifying 0.6x + 15 = 1.4x + 12 Reorder the terms: 15 + 0.6x = 1.4x + 12 Reorder the terms: 15 + 0.6x = 12 + 1.4x Solving 15 + 0.6x = 12 + 1.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.4x' to each side of the equation. 15 + 0.6x + -1.4x = 12 + 1.4x + -1.4x Combine like terms: 0.6x + -1.4x = -0.8x 15 + -0.8x = 12 + 1.4x + -1.4x Combine like terms: 1.4x + -1.4x = 0.0 15 + -0.8x = 12 + 0.0 15 + -0.8x = 12 Add '-15' to each side of the equation. 15 + -15 + -0.8x = 12 + -15 Combine like terms: 15 + -15 = 0 0 + -0.8x = 12 + -15 -0.8x = 12 + -15 Combine like terms: 12 + -15 = -3 -0.8x = -3 Divide each side by '-0.8'. x = 3.75 Simplifying x = 3.75
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