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Simplifying 4(x + -2) + -1 = -6(-3x + 1) + -8x Reorder the terms: 4(-2 + x) + -1 = -6(-3x + 1) + -8x (-2 * 4 + x * 4) + -1 = -6(-3x + 1) + -8x (-8 + 4x) + -1 = -6(-3x + 1) + -8x Reorder the terms: -8 + -1 + 4x = -6(-3x + 1) + -8x Combine like terms: -8 + -1 = -9 -9 + 4x = -6(-3x + 1) + -8x Reorder the terms: -9 + 4x = -6(1 + -3x) + -8x -9 + 4x = (1 * -6 + -3x * -6) + -8x -9 + 4x = (-6 + 18x) + -8x Combine like terms: 18x + -8x = 10x -9 + 4x = -6 + 10x Solving -9 + 4x = -6 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -9 + 4x + -10x = -6 + 10x + -10x Combine like terms: 4x + -10x = -6x -9 + -6x = -6 + 10x + -10x Combine like terms: 10x + -10x = 0 -9 + -6x = -6 + 0 -9 + -6x = -6 Add '9' to each side of the equation. -9 + 9 + -6x = -6 + 9 Combine like terms: -9 + 9 = 0 0 + -6x = -6 + 9 -6x = -6 + 9 Combine like terms: -6 + 9 = 3 -6x = 3 Divide each side by '-6'. x = -0.5 Simplifying x = -0.5
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