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Simplifying -0.3x + 1.63 = -0.7x + 8.43 Reorder the terms: 1.63 + -0.3x = -0.7x + 8.43 Reorder the terms: 1.63 + -0.3x = 8.43 + -0.7x Solving 1.63 + -0.3x = 8.43 + -0.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.7x' to each side of the equation. 1.63 + -0.3x + 0.7x = 8.43 + -0.7x + 0.7x Combine like terms: -0.3x + 0.7x = 0.4x 1.63 + 0.4x = 8.43 + -0.7x + 0.7x Combine like terms: -0.7x + 0.7x = 0.0 1.63 + 0.4x = 8.43 + 0.0 1.63 + 0.4x = 8.43 Add '-1.63' to each side of the equation. 1.63 + -1.63 + 0.4x = 8.43 + -1.63 Combine like terms: 1.63 + -1.63 = 0.00 0.00 + 0.4x = 8.43 + -1.63 0.4x = 8.43 + -1.63 Combine like terms: 8.43 + -1.63 = 6.8 0.4x = 6.8 Divide each side by '0.4'. x = 17 Simplifying x = 17
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