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Simplifying -2.7(x + 6) = -4.2 + 1.3x Reorder the terms: -2.7(6 + x) = -4.2 + 1.3x (6 * -2.7 + x * -2.7) = -4.2 + 1.3x (-16.2 + -2.7x) = -4.2 + 1.3x Solving -16.2 + -2.7x = -4.2 + 1.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.3x' to each side of the equation. -16.2 + -2.7x + -1.3x = -4.2 + 1.3x + -1.3x Combine like terms: -2.7x + -1.3x = -4x -16.2 + -4x = -4.2 + 1.3x + -1.3x Combine like terms: 1.3x + -1.3x = 0.0 -16.2 + -4x = -4.2 + 0.0 -16.2 + -4x = -4.2 Add '16.2' to each side of the equation. -16.2 + 16.2 + -4x = -4.2 + 16.2 Combine like terms: -16.2 + 16.2 = 0.0 0.0 + -4x = -4.2 + 16.2 -4x = -4.2 + 16.2 Combine like terms: -4.2 + 16.2 = 12 -4x = 12 Divide each side by '-4'. x = -3 Simplifying x = -3
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