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Simplifying 1.5x + 13 = 2.4x + 4 Reorder the terms: 13 + 1.5x = 2.4x + 4 Reorder the terms: 13 + 1.5x = 4 + 2.4x Solving 13 + 1.5x = 4 + 2.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.4x' to each side of the equation. 13 + 1.5x + -2.4x = 4 + 2.4x + -2.4x Combine like terms: 1.5x + -2.4x = -0.9x 13 + -0.9x = 4 + 2.4x + -2.4x Combine like terms: 2.4x + -2.4x = 0.0 13 + -0.9x = 4 + 0.0 13 + -0.9x = 4 Add '-13' to each side of the equation. 13 + -13 + -0.9x = 4 + -13 Combine like terms: 13 + -13 = 0 0 + -0.9x = 4 + -13 -0.9x = 4 + -13 Combine like terms: 4 + -13 = -9 -0.9x = -9 Divide each side by '-0.9'. x = 10 Simplifying x = 10
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