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Simplifying 5(3x + -2x + -1) + -4(3x + -2) = -6x + 2(-3x + -12) Reorder the terms: 5(-1 + 3x + -2x) + -4(3x + -2) = -6x + 2(-3x + -12) Combine like terms: 3x + -2x = 1x 5(-1 + 1x) + -4(3x + -2) = -6x + 2(-3x + -12) (-1 * 5 + 1x * 5) + -4(3x + -2) = -6x + 2(-3x + -12) (-5 + 5x) + -4(3x + -2) = -6x + 2(-3x + -12) Reorder the terms: -5 + 5x + -4(-2 + 3x) = -6x + 2(-3x + -12) -5 + 5x + (-2 * -4 + 3x * -4) = -6x + 2(-3x + -12) -5 + 5x + (8 + -12x) = -6x + 2(-3x + -12) Reorder the terms: -5 + 8 + 5x + -12x = -6x + 2(-3x + -12) Combine like terms: -5 + 8 = 3 3 + 5x + -12x = -6x + 2(-3x + -12) Combine like terms: 5x + -12x = -7x 3 + -7x = -6x + 2(-3x + -12) Reorder the terms: 3 + -7x = -6x + 2(-12 + -3x) 3 + -7x = -6x + (-12 * 2 + -3x * 2) 3 + -7x = -6x + (-24 + -6x) Reorder the terms: 3 + -7x = -24 + -6x + -6x Combine like terms: -6x + -6x = -12x 3 + -7x = -24 + -12x Solving 3 + -7x = -24 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 3 + -7x + 12x = -24 + -12x + 12x Combine like terms: -7x + 12x = 5x 3 + 5x = -24 + -12x + 12x Combine like terms: -12x + 12x = 0 3 + 5x = -24 + 0 3 + 5x = -24 Add '-3' to each side of the equation. 3 + -3 + 5x = -24 + -3 Combine like terms: 3 + -3 = 0 0 + 5x = -24 + -3 5x = -24 + -3 Combine like terms: -24 + -3 = -27 5x = -27 Divide each side by '5'. x = -5.4 Simplifying x = -5.4
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