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Simplifying -3.5x + 6.3 = -0.3(9x + -5) Reorder the terms: 6.3 + -3.5x = -0.3(9x + -5) Reorder the terms: 6.3 + -3.5x = -0.3(-5 + 9x) 6.3 + -3.5x = (-5 * -0.3 + 9x * -0.3) 6.3 + -3.5x = (1.5 + -2.7x) Solving 6.3 + -3.5x = 1.5 + -2.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.7x' to each side of the equation. 6.3 + -3.5x + 2.7x = 1.5 + -2.7x + 2.7x Combine like terms: -3.5x + 2.7x = -0.8x 6.3 + -0.8x = 1.5 + -2.7x + 2.7x Combine like terms: -2.7x + 2.7x = 0.0 6.3 + -0.8x = 1.5 + 0.0 6.3 + -0.8x = 1.5 Add '-6.3' to each side of the equation. 6.3 + -6.3 + -0.8x = 1.5 + -6.3 Combine like terms: 6.3 + -6.3 = 0.0 0.0 + -0.8x = 1.5 + -6.3 -0.8x = 1.5 + -6.3 Combine like terms: 1.5 + -6.3 = -4.8 -0.8x = -4.8 Divide each side by '-0.8'. x = 6 Simplifying x = 6
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