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Simplifying 0.5x + 1.3 + 1.5x + -0.3 = 1.6x + 2.9 + 2.4x + -7.9 Reorder the terms: 1.3 + -0.3 + 0.5x + 1.5x = 1.6x + 2.9 + 2.4x + -7.9 Combine like terms: 1.3 + -0.3 = 1 1 + 0.5x + 1.5x = 1.6x + 2.9 + 2.4x + -7.9 Combine like terms: 0.5x + 1.5x = 2x 1 + 2x = 1.6x + 2.9 + 2.4x + -7.9 Reorder the terms: 1 + 2x = 2.9 + -7.9 + 1.6x + 2.4x Combine like terms: 2.9 + -7.9 = -5 1 + 2x = -5 + 1.6x + 2.4x Combine like terms: 1.6x + 2.4x = 4x 1 + 2x = -5 + 4x Solving 1 + 2x = -5 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 1 + 2x + -4x = -5 + 4x + -4x Combine like terms: 2x + -4x = -2x 1 + -2x = -5 + 4x + -4x Combine like terms: 4x + -4x = 0 1 + -2x = -5 + 0 1 + -2x = -5 Add '-1' to each side of the equation. 1 + -1 + -2x = -5 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = -5 + -1 -2x = -5 + -1 Combine like terms: -5 + -1 = -6 -2x = -6 Divide each side by '-2'. x = 3 Simplifying x = 3
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