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Simplifying 3(x + -2) + -6 = -4(-5x + 1) + -1x Reorder the terms: 3(-2 + x) + -6 = -4(-5x + 1) + -1x (-2 * 3 + x * 3) + -6 = -4(-5x + 1) + -1x (-6 + 3x) + -6 = -4(-5x + 1) + -1x Reorder the terms: -6 + -6 + 3x = -4(-5x + 1) + -1x Combine like terms: -6 + -6 = -12 -12 + 3x = -4(-5x + 1) + -1x Reorder the terms: -12 + 3x = -4(1 + -5x) + -1x -12 + 3x = (1 * -4 + -5x * -4) + -1x -12 + 3x = (-4 + 20x) + -1x Combine like terms: 20x + -1x = 19x -12 + 3x = -4 + 19x Solving -12 + 3x = -4 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. -12 + 3x + -19x = -4 + 19x + -19x Combine like terms: 3x + -19x = -16x -12 + -16x = -4 + 19x + -19x Combine like terms: 19x + -19x = 0 -12 + -16x = -4 + 0 -12 + -16x = -4 Add '12' to each side of the equation. -12 + 12 + -16x = -4 + 12 Combine like terms: -12 + 12 = 0 0 + -16x = -4 + 12 -16x = -4 + 12 Combine like terms: -4 + 12 = 8 -16x = 8 Divide each side by '-16'. x = -0.5 Simplifying x = -0.5
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