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Simplifying 3(x + -4) + 4 = 5x + -8(x + 3) Reorder the terms: 3(-4 + x) + 4 = 5x + -8(x + 3) (-4 * 3 + x * 3) + 4 = 5x + -8(x + 3) (-12 + 3x) + 4 = 5x + -8(x + 3) Reorder the terms: -12 + 4 + 3x = 5x + -8(x + 3) Combine like terms: -12 + 4 = -8 -8 + 3x = 5x + -8(x + 3) Reorder the terms: -8 + 3x = 5x + -8(3 + x) -8 + 3x = 5x + (3 * -8 + x * -8) -8 + 3x = 5x + (-24 + -8x) Reorder the terms: -8 + 3x = -24 + 5x + -8x Combine like terms: 5x + -8x = -3x -8 + 3x = -24 + -3x Solving -8 + 3x = -24 + -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. -8 + 3x + 3x = -24 + -3x + 3x Combine like terms: 3x + 3x = 6x -8 + 6x = -24 + -3x + 3x Combine like terms: -3x + 3x = 0 -8 + 6x = -24 + 0 -8 + 6x = -24 Add '8' to each side of the equation. -8 + 8 + 6x = -24 + 8 Combine like terms: -8 + 8 = 0 0 + 6x = -24 + 8 6x = -24 + 8 Combine like terms: -24 + 8 = -16 6x = -16 Divide each side by '6'. x = -2.666666667 Simplifying x = -2.666666667
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