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Simplifying -4(3x + 1) + -2 = -5(x + 3) + 3x Reorder the terms: -4(1 + 3x) + -2 = -5(x + 3) + 3x (1 * -4 + 3x * -4) + -2 = -5(x + 3) + 3x (-4 + -12x) + -2 = -5(x + 3) + 3x Reorder the terms: -4 + -2 + -12x = -5(x + 3) + 3x Combine like terms: -4 + -2 = -6 -6 + -12x = -5(x + 3) + 3x Reorder the terms: -6 + -12x = -5(3 + x) + 3x -6 + -12x = (3 * -5 + x * -5) + 3x -6 + -12x = (-15 + -5x) + 3x Combine like terms: -5x + 3x = -2x -6 + -12x = -15 + -2x Solving -6 + -12x = -15 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -6 + -12x + 2x = -15 + -2x + 2x Combine like terms: -12x + 2x = -10x -6 + -10x = -15 + -2x + 2x Combine like terms: -2x + 2x = 0 -6 + -10x = -15 + 0 -6 + -10x = -15 Add '6' to each side of the equation. -6 + 6 + -10x = -15 + 6 Combine like terms: -6 + 6 = 0 0 + -10x = -15 + 6 -10x = -15 + 6 Combine like terms: -15 + 6 = -9 -10x = -9 Divide each side by '-10'. x = 0.9 Simplifying x = 0.9
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