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Simplifying 8(x + -3) + -3(4x + 2) = 2x Reorder the terms: 8(-3 + x) + -3(4x + 2) = 2x (-3 * 8 + x * 8) + -3(4x + 2) = 2x (-24 + 8x) + -3(4x + 2) = 2x Reorder the terms: -24 + 8x + -3(2 + 4x) = 2x -24 + 8x + (2 * -3 + 4x * -3) = 2x -24 + 8x + (-6 + -12x) = 2x Reorder the terms: -24 + -6 + 8x + -12x = 2x Combine like terms: -24 + -6 = -30 -30 + 8x + -12x = 2x Combine like terms: 8x + -12x = -4x -30 + -4x = 2x Solving -30 + -4x = 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. -30 + -4x + -2x = 2x + -2x Combine like terms: -4x + -2x = -6x -30 + -6x = 2x + -2x Combine like terms: 2x + -2x = 0 -30 + -6x = 0 Add '30' to each side of the equation. -30 + 30 + -6x = 0 + 30 Combine like terms: -30 + 30 = 0 0 + -6x = 0 + 30 -6x = 0 + 30 Combine like terms: 0 + 30 = 30 -6x = 30 Divide each side by '-6'. x = -5 Simplifying x = -5
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