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Simplifying 2.4x + 0.07 = 5(0.3x + 0.23) Reorder the terms: 0.07 + 2.4x = 5(0.3x + 0.23) Reorder the terms: 0.07 + 2.4x = 5(0.23 + 0.3x) 0.07 + 2.4x = (0.23 * 5 + 0.3x * 5) 0.07 + 2.4x = (1.15 + 1.5x) Solving 0.07 + 2.4x = 1.15 + 1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5x' to each side of the equation. 0.07 + 2.4x + -1.5x = 1.15 + 1.5x + -1.5x Combine like terms: 2.4x + -1.5x = 0.9x 0.07 + 0.9x = 1.15 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 0.07 + 0.9x = 1.15 + 0.0 0.07 + 0.9x = 1.15 Add '-0.07' to each side of the equation. 0.07 + -0.07 + 0.9x = 1.15 + -0.07 Combine like terms: 0.07 + -0.07 = 0.00 0.00 + 0.9x = 1.15 + -0.07 0.9x = 1.15 + -0.07 Combine like terms: 1.15 + -0.07 = 1.08 0.9x = 1.08 Divide each side by '0.9'. x = 1.2 Simplifying x = 1.2
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