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Simplifying 2(-8x + -4) + 12x + -10 = 3(-1x + 2) Reorder the terms: 2(-4 + -8x) + 12x + -10 = 3(-1x + 2) (-4 * 2 + -8x * 2) + 12x + -10 = 3(-1x + 2) (-8 + -16x) + 12x + -10 = 3(-1x + 2) Reorder the terms: -8 + -10 + -16x + 12x = 3(-1x + 2) Combine like terms: -8 + -10 = -18 -18 + -16x + 12x = 3(-1x + 2) Combine like terms: -16x + 12x = -4x -18 + -4x = 3(-1x + 2) Reorder the terms: -18 + -4x = 3(2 + -1x) -18 + -4x = (2 * 3 + -1x * 3) -18 + -4x = (6 + -3x) Solving -18 + -4x = 6 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -18 + -4x + 3x = 6 + -3x + 3x Combine like terms: -4x + 3x = -1x -18 + -1x = 6 + -3x + 3x Combine like terms: -3x + 3x = 0 -18 + -1x = 6 + 0 -18 + -1x = 6 Add '18' to each side of the equation. -18 + 18 + -1x = 6 + 18 Combine like terms: -18 + 18 = 0 0 + -1x = 6 + 18 -1x = 6 + 18 Combine like terms: 6 + 18 = 24 -1x = 24 Divide each side by '-1'. x = -24 Simplifying x = -24
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