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Simplifying 3(x + -2) + -5(x + -6) = 4(x + 1) Reorder the terms: 3(-2 + x) + -5(x + -6) = 4(x + 1) (-2 * 3 + x * 3) + -5(x + -6) = 4(x + 1) (-6 + 3x) + -5(x + -6) = 4(x + 1) Reorder the terms: -6 + 3x + -5(-6 + x) = 4(x + 1) -6 + 3x + (-6 * -5 + x * -5) = 4(x + 1) -6 + 3x + (30 + -5x) = 4(x + 1) Reorder the terms: -6 + 30 + 3x + -5x = 4(x + 1) Combine like terms: -6 + 30 = 24 24 + 3x + -5x = 4(x + 1) Combine like terms: 3x + -5x = -2x 24 + -2x = 4(x + 1) Reorder the terms: 24 + -2x = 4(1 + x) 24 + -2x = (1 * 4 + x * 4) 24 + -2x = (4 + 4x) Solving 24 + -2x = 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. 24 + -2x + -4x = 4 + 4x + -4x Combine like terms: -2x + -4x = -6x 24 + -6x = 4 + 4x + -4x Combine like terms: 4x + -4x = 0 24 + -6x = 4 + 0 24 + -6x = 4 Add '-24' to each side of the equation. 24 + -24 + -6x = 4 + -24 Combine like terms: 24 + -24 = 0 0 + -6x = 4 + -24 -6x = 4 + -24 Combine like terms: 4 + -24 = -20 -6x = -20 Divide each side by '-6'. x = 3.333333333 Simplifying x = 3.333333333
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