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Simplifying 4(x + -2) + -6 = -3(-3x + 8) + -1x Reorder the terms: 4(-2 + x) + -6 = -3(-3x + 8) + -1x (-2 * 4 + x * 4) + -6 = -3(-3x + 8) + -1x (-8 + 4x) + -6 = -3(-3x + 8) + -1x Reorder the terms: -8 + -6 + 4x = -3(-3x + 8) + -1x Combine like terms: -8 + -6 = -14 -14 + 4x = -3(-3x + 8) + -1x Reorder the terms: -14 + 4x = -3(8 + -3x) + -1x -14 + 4x = (8 * -3 + -3x * -3) + -1x -14 + 4x = (-24 + 9x) + -1x Combine like terms: 9x + -1x = 8x -14 + 4x = -24 + 8x Solving -14 + 4x = -24 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -14 + 4x + -8x = -24 + 8x + -8x Combine like terms: 4x + -8x = -4x -14 + -4x = -24 + 8x + -8x Combine like terms: 8x + -8x = 0 -14 + -4x = -24 + 0 -14 + -4x = -24 Add '14' to each side of the equation. -14 + 14 + -4x = -24 + 14 Combine like terms: -14 + 14 = 0 0 + -4x = -24 + 14 -4x = -24 + 14 Combine like terms: -24 + 14 = -10 -4x = -10 Divide each side by '-4'. x = 2.5 Simplifying x = 2.5
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