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Simplifying -3(x + -6) + 4(x + 1) = 0.5(14x + -20) Reorder the terms: -3(-6 + x) + 4(x + 1) = 0.5(14x + -20) (-6 * -3 + x * -3) + 4(x + 1) = 0.5(14x + -20) (18 + -3x) + 4(x + 1) = 0.5(14x + -20) Reorder the terms: 18 + -3x + 4(1 + x) = 0.5(14x + -20) 18 + -3x + (1 * 4 + x * 4) = 0.5(14x + -20) 18 + -3x + (4 + 4x) = 0.5(14x + -20) Reorder the terms: 18 + 4 + -3x + 4x = 0.5(14x + -20) Combine like terms: 18 + 4 = 22 22 + -3x + 4x = 0.5(14x + -20) Combine like terms: -3x + 4x = 1x 22 + 1x = 0.5(14x + -20) Reorder the terms: 22 + 1x = 0.5(-20 + 14x) 22 + 1x = (-20 * 0.5 + 14x * 0.5) 22 + 1x = (-10 + 7x) Solving 22 + 1x = -10 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 22 + 1x + -7x = -10 + 7x + -7x Combine like terms: 1x + -7x = -6x 22 + -6x = -10 + 7x + -7x Combine like terms: 7x + -7x = 0 22 + -6x = -10 + 0 22 + -6x = -10 Add '-22' to each side of the equation. 22 + -22 + -6x = -10 + -22 Combine like terms: 22 + -22 = 0 0 + -6x = -10 + -22 -6x = -10 + -22 Combine like terms: -10 + -22 = -32 -6x = -32 Divide each side by '-6'. x = 5.333333333 Simplifying x = 5.333333333
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