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Simplifying 4(x + -1) = -6(x + 2) + 48 Reorder the terms: 4(-1 + x) = -6(x + 2) + 48 (-1 * 4 + x * 4) = -6(x + 2) + 48 (-4 + 4x) = -6(x + 2) + 48 Reorder the terms: -4 + 4x = -6(2 + x) + 48 -4 + 4x = (2 * -6 + x * -6) + 48 -4 + 4x = (-12 + -6x) + 48 Reorder the terms: -4 + 4x = -12 + 48 + -6x Combine like terms: -12 + 48 = 36 -4 + 4x = 36 + -6x Solving -4 + 4x = 36 + -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. -4 + 4x + 6x = 36 + -6x + 6x Combine like terms: 4x + 6x = 10x -4 + 10x = 36 + -6x + 6x Combine like terms: -6x + 6x = 0 -4 + 10x = 36 + 0 -4 + 10x = 36 Add '4' to each side of the equation. -4 + 4 + 10x = 36 + 4 Combine like terms: -4 + 4 = 0 0 + 10x = 36 + 4 10x = 36 + 4 Combine like terms: 36 + 4 = 40 10x = 40 Divide each side by '10'. x = 4 Simplifying x = 4
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