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Simplifying 3(3.6x + -5.4) + -2.9x = -4(x + -9.6) Reorder the terms: 3(-5.4 + 3.6x) + -2.9x = -4(x + -9.6) (-5.4 * 3 + 3.6x * 3) + -2.9x = -4(x + -9.6) (-16.2 + 10.8x) + -2.9x = -4(x + -9.6) Combine like terms: 10.8x + -2.9x = 7.9x -16.2 + 7.9x = -4(x + -9.6) Reorder the terms: -16.2 + 7.9x = -4(-9.6 + x) -16.2 + 7.9x = (-9.6 * -4 + x * -4) -16.2 + 7.9x = (38.4 + -4x) Solving -16.2 + 7.9x = 38.4 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -16.2 + 7.9x + 4x = 38.4 + -4x + 4x Combine like terms: 7.9x + 4x = 11.9x -16.2 + 11.9x = 38.4 + -4x + 4x Combine like terms: -4x + 4x = 0 -16.2 + 11.9x = 38.4 + 0 -16.2 + 11.9x = 38.4 Add '16.2' to each side of the equation. -16.2 + 16.2 + 11.9x = 38.4 + 16.2 Combine like terms: -16.2 + 16.2 = 0.0 0.0 + 11.9x = 38.4 + 16.2 11.9x = 38.4 + 16.2 Combine like terms: 38.4 + 16.2 = 54.6 11.9x = 54.6 Divide each side by '11.9'. x = 4.588235294 Simplifying x = 4.588235294
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