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Simplifying 7x + 1.7 + -5.3x = 0.3x + -4.6 Reorder the terms: 1.7 + 7x + -5.3x = 0.3x + -4.6 Combine like terms: 7x + -5.3x = 1.7x 1.7 + 1.7x = 0.3x + -4.6 Reorder the terms: 1.7 + 1.7x = -4.6 + 0.3x Solving 1.7 + 1.7x = -4.6 + 0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3x' to each side of the equation. 1.7 + 1.7x + -0.3x = -4.6 + 0.3x + -0.3x Combine like terms: 1.7x + -0.3x = 1.4x 1.7 + 1.4x = -4.6 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 1.7 + 1.4x = -4.6 + 0.0 1.7 + 1.4x = -4.6 Add '-1.7' to each side of the equation. 1.7 + -1.7 + 1.4x = -4.6 + -1.7 Combine like terms: 1.7 + -1.7 = 0.0 0.0 + 1.4x = -4.6 + -1.7 1.4x = -4.6 + -1.7 Combine like terms: -4.6 + -1.7 = -6.3 1.4x = -6.3 Divide each side by '1.4'. x = -4.5 Simplifying x = -4.5
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