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Simplifying 5 + -3(2x + 1) = 4(x + -5) + -6 Reorder the terms: 5 + -3(1 + 2x) = 4(x + -5) + -6 5 + (1 * -3 + 2x * -3) = 4(x + -5) + -6 5 + (-3 + -6x) = 4(x + -5) + -6 Combine like terms: 5 + -3 = 2 2 + -6x = 4(x + -5) + -6 Reorder the terms: 2 + -6x = 4(-5 + x) + -6 2 + -6x = (-5 * 4 + x * 4) + -6 2 + -6x = (-20 + 4x) + -6 Reorder the terms: 2 + -6x = -20 + -6 + 4x Combine like terms: -20 + -6 = -26 2 + -6x = -26 + 4x Solving 2 + -6x = -26 + 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. 2 + -6x + -4x = -26 + 4x + -4x Combine like terms: -6x + -4x = -10x 2 + -10x = -26 + 4x + -4x Combine like terms: 4x + -4x = 0 2 + -10x = -26 + 0 2 + -10x = -26 Add '-2' to each side of the equation. 2 + -2 + -10x = -26 + -2 Combine like terms: 2 + -2 = 0 0 + -10x = -26 + -2 -10x = -26 + -2 Combine like terms: -26 + -2 = -28 -10x = -28 Divide each side by '-10'. x = 2.8 Simplifying x = 2.8
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