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Simplifying 4.2(x + 3.3) = 6(x + -1.3) Reorder the terms: 4.2(3.3 + x) = 6(x + -1.3) (3.3 * 4.2 + x * 4.2) = 6(x + -1.3) (13.86 + 4.2x) = 6(x + -1.3) Reorder the terms: 13.86 + 4.2x = 6(-1.3 + x) 13.86 + 4.2x = (-1.3 * 6 + x * 6) 13.86 + 4.2x = (-7.8 + 6x) Solving 13.86 + 4.2x = -7.8 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 13.86 + 4.2x + -6x = -7.8 + 6x + -6x Combine like terms: 4.2x + -6x = -1.8x 13.86 + -1.8x = -7.8 + 6x + -6x Combine like terms: 6x + -6x = 0 13.86 + -1.8x = -7.8 + 0 13.86 + -1.8x = -7.8 Add '-13.86' to each side of the equation. 13.86 + -13.86 + -1.8x = -7.8 + -13.86 Combine like terms: 13.86 + -13.86 = 0.00 0.00 + -1.8x = -7.8 + -13.86 -1.8x = -7.8 + -13.86 Combine like terms: -7.8 + -13.86 = -21.66 -1.8x = -21.66 Divide each side by '-1.8'. x = 12.03333333 Simplifying x = 12.03333333
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