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Simplifying -8(3x + 2) = 2x + 4(x + -1) Reorder the terms: -8(2 + 3x) = 2x + 4(x + -1) (2 * -8 + 3x * -8) = 2x + 4(x + -1) (-16 + -24x) = 2x + 4(x + -1) Reorder the terms: -16 + -24x = 2x + 4(-1 + x) -16 + -24x = 2x + (-1 * 4 + x * 4) -16 + -24x = 2x + (-4 + 4x) Reorder the terms: -16 + -24x = -4 + 2x + 4x Combine like terms: 2x + 4x = 6x -16 + -24x = -4 + 6x Solving -16 + -24x = -4 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -16 + -24x + -6x = -4 + 6x + -6x Combine like terms: -24x + -6x = -30x -16 + -30x = -4 + 6x + -6x Combine like terms: 6x + -6x = 0 -16 + -30x = -4 + 0 -16 + -30x = -4 Add '16' to each side of the equation. -16 + 16 + -30x = -4 + 16 Combine like terms: -16 + 16 = 0 0 + -30x = -4 + 16 -30x = -4 + 16 Combine like terms: -4 + 16 = 12 -30x = 12 Divide each side by '-30'. x = -0.4 Simplifying x = -0.4
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