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Simplifying 4(x + -2) + 5 = -6(x + -4) + 8 Reorder the terms: 4(-2 + x) + 5 = -6(x + -4) + 8 (-2 * 4 + x * 4) + 5 = -6(x + -4) + 8 (-8 + 4x) + 5 = -6(x + -4) + 8 Reorder the terms: -8 + 5 + 4x = -6(x + -4) + 8 Combine like terms: -8 + 5 = -3 -3 + 4x = -6(x + -4) + 8 Reorder the terms: -3 + 4x = -6(-4 + x) + 8 -3 + 4x = (-4 * -6 + x * -6) + 8 -3 + 4x = (24 + -6x) + 8 Reorder the terms: -3 + 4x = 24 + 8 + -6x Combine like terms: 24 + 8 = 32 -3 + 4x = 32 + -6x Solving -3 + 4x = 32 + -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. -3 + 4x + 6x = 32 + -6x + 6x Combine like terms: 4x + 6x = 10x -3 + 10x = 32 + -6x + 6x Combine like terms: -6x + 6x = 0 -3 + 10x = 32 + 0 -3 + 10x = 32 Add '3' to each side of the equation. -3 + 3 + 10x = 32 + 3 Combine like terms: -3 + 3 = 0 0 + 10x = 32 + 3 10x = 32 + 3 Combine like terms: 32 + 3 = 35 10x = 35 Divide each side by '10'. x = 3.5 Simplifying x = 3.5
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