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Simplifying 5.3x + -1.4 + -4.5x = -0.2x + -2.9 Reorder the terms: -1.4 + 5.3x + -4.5x = -0.2x + -2.9 Combine like terms: 5.3x + -4.5x = 0.8x -1.4 + 0.8x = -0.2x + -2.9 Reorder the terms: -1.4 + 0.8x = -2.9 + -0.2x Solving -1.4 + 0.8x = -2.9 + -0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.2x' to each side of the equation. -1.4 + 0.8x + 0.2x = -2.9 + -0.2x + 0.2x Combine like terms: 0.8x + 0.2x = 1x -1.4 + 1x = -2.9 + -0.2x + 0.2x Combine like terms: -0.2x + 0.2x = 0.0 -1.4 + 1x = -2.9 + 0.0 -1.4 + 1x = -2.9 Add '1.4' to each side of the equation. -1.4 + 1.4 + 1x = -2.9 + 1.4 Combine like terms: -1.4 + 1.4 = 0.0 0.0 + 1x = -2.9 + 1.4 1x = -2.9 + 1.4 Combine like terms: -2.9 + 1.4 = -1.5 1x = -1.5 Divide each side by '1'. x = -1.5 Simplifying x = -1.5
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