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Simplifying 0.5(14x + 4) = 0.3(6x + -12) Reorder the terms: 0.5(4 + 14x) = 0.3(6x + -12) (4 * 0.5 + 14x * 0.5) = 0.3(6x + -12) (2 + 7x) = 0.3(6x + -12) Reorder the terms: 2 + 7x = 0.3(-12 + 6x) 2 + 7x = (-12 * 0.3 + 6x * 0.3) 2 + 7x = (-3.6 + 1.8x) Solving 2 + 7x = -3.6 + 1.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.8x' to each side of the equation. 2 + 7x + -1.8x = -3.6 + 1.8x + -1.8x Combine like terms: 7x + -1.8x = 5.2x 2 + 5.2x = -3.6 + 1.8x + -1.8x Combine like terms: 1.8x + -1.8x = 0.0 2 + 5.2x = -3.6 + 0.0 2 + 5.2x = -3.6 Add '-2' to each side of the equation. 2 + -2 + 5.2x = -3.6 + -2 Combine like terms: 2 + -2 = 0 0 + 5.2x = -3.6 + -2 5.2x = -3.6 + -2 Combine like terms: -3.6 + -2 = -5.6 5.2x = -5.6 Divide each side by '5.2'. x = -1.076923077 Simplifying x = -1.076923077
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