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Simplifying 4(x + -4) + -6(2 + -1x) + -24 = 3(26 + -1x) Reorder the terms: 4(-4 + x) + -6(2 + -1x) + -24 = 3(26 + -1x) (-4 * 4 + x * 4) + -6(2 + -1x) + -24 = 3(26 + -1x) (-16 + 4x) + -6(2 + -1x) + -24 = 3(26 + -1x) -16 + 4x + (2 * -6 + -1x * -6) + -24 = 3(26 + -1x) -16 + 4x + (-12 + 6x) + -24 = 3(26 + -1x) Reorder the terms: -16 + -12 + -24 + 4x + 6x = 3(26 + -1x) Combine like terms: -16 + -12 = -28 -28 + -24 + 4x + 6x = 3(26 + -1x) Combine like terms: -28 + -24 = -52 -52 + 4x + 6x = 3(26 + -1x) Combine like terms: 4x + 6x = 10x -52 + 10x = 3(26 + -1x) -52 + 10x = (26 * 3 + -1x * 3) -52 + 10x = (78 + -3x) Solving -52 + 10x = 78 + -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. -52 + 10x + 3x = 78 + -3x + 3x Combine like terms: 10x + 3x = 13x -52 + 13x = 78 + -3x + 3x Combine like terms: -3x + 3x = 0 -52 + 13x = 78 + 0 -52 + 13x = 78 Add '52' to each side of the equation. -52 + 52 + 13x = 78 + 52 Combine like terms: -52 + 52 = 0 0 + 13x = 78 + 52 13x = 78 + 52 Combine like terms: 78 + 52 = 130 13x = 130 Divide each side by '13'. x = 10 Simplifying x = 10
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