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Simplifying 5x + -4(2 + x) + -3x = 6x + -24 5x + (2 * -4 + x * -4) + -3x = 6x + -24 5x + (-8 + -4x) + -3x = 6x + -24 Reorder the terms: -8 + 5x + -4x + -3x = 6x + -24 Combine like terms: 5x + -4x = 1x -8 + 1x + -3x = 6x + -24 Combine like terms: 1x + -3x = -2x -8 + -2x = 6x + -24 Reorder the terms: -8 + -2x = -24 + 6x Solving -8 + -2x = -24 + 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. -8 + -2x + -6x = -24 + 6x + -6x Combine like terms: -2x + -6x = -8x -8 + -8x = -24 + 6x + -6x Combine like terms: 6x + -6x = 0 -8 + -8x = -24 + 0 -8 + -8x = -24 Add '8' to each side of the equation. -8 + 8 + -8x = -24 + 8 Combine like terms: -8 + 8 = 0 0 + -8x = -24 + 8 -8x = -24 + 8 Combine like terms: -24 + 8 = -16 -8x = -16 Divide each side by '-8'. x = 2 Simplifying x = 2
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