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Simplifying 4.3(2x + -3) + 2.8 = 9.5x + -3 Reorder the terms: 4.3(-3 + 2x) + 2.8 = 9.5x + -3 (-3 * 4.3 + 2x * 4.3) + 2.8 = 9.5x + -3 (-12.9 + 8.6x) + 2.8 = 9.5x + -3 Reorder the terms: -12.9 + 2.8 + 8.6x = 9.5x + -3 Combine like terms: -12.9 + 2.8 = -10.1 -10.1 + 8.6x = 9.5x + -3 Reorder the terms: -10.1 + 8.6x = -3 + 9.5x Solving -10.1 + 8.6x = -3 + 9.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9.5x' to each side of the equation. -10.1 + 8.6x + -9.5x = -3 + 9.5x + -9.5x Combine like terms: 8.6x + -9.5x = -0.9x -10.1 + -0.9x = -3 + 9.5x + -9.5x Combine like terms: 9.5x + -9.5x = 0.0 -10.1 + -0.9x = -3 + 0.0 -10.1 + -0.9x = -3 Add '10.1' to each side of the equation. -10.1 + 10.1 + -0.9x = -3 + 10.1 Combine like terms: -10.1 + 10.1 = 0.0 0.0 + -0.9x = -3 + 10.1 -0.9x = -3 + 10.1 Combine like terms: -3 + 10.1 = 7.1 -0.9x = 7.1 Divide each side by '-0.9'. x = -7.888888889 Simplifying x = -7.888888889
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