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Simplifying 3(x + -4) + 5x = -6 + 2x Reorder the terms: 3(-4 + x) + 5x = -6 + 2x (-4 * 3 + x * 3) + 5x = -6 + 2x (-12 + 3x) + 5x = -6 + 2x Combine like terms: 3x + 5x = 8x -12 + 8x = -6 + 2x Solving -12 + 8x = -6 + 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. -12 + 8x + -2x = -6 + 2x + -2x Combine like terms: 8x + -2x = 6x -12 + 6x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + 6x = -6 + 0 -12 + 6x = -6 Add '12' to each side of the equation. -12 + 12 + 6x = -6 + 12 Combine like terms: -12 + 12 = 0 0 + 6x = -6 + 12 6x = -6 + 12 Combine like terms: -6 + 12 = 6 6x = 6 Divide each side by '6'. x = 1 Simplifying x = 1
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