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Simplifying 6(x + -7) + -1(x + -4) = 4(x + -1) Reorder the terms: 6(-7 + x) + -1(x + -4) = 4(x + -1) (-7 * 6 + x * 6) + -1(x + -4) = 4(x + -1) (-42 + 6x) + -1(x + -4) = 4(x + -1) Reorder the terms: -42 + 6x + -1(-4 + x) = 4(x + -1) -42 + 6x + (-4 * -1 + x * -1) = 4(x + -1) -42 + 6x + (4 + -1x) = 4(x + -1) Reorder the terms: -42 + 4 + 6x + -1x = 4(x + -1) Combine like terms: -42 + 4 = -38 -38 + 6x + -1x = 4(x + -1) Combine like terms: 6x + -1x = 5x -38 + 5x = 4(x + -1) Reorder the terms: -38 + 5x = 4(-1 + x) -38 + 5x = (-1 * 4 + x * 4) -38 + 5x = (-4 + 4x) Solving -38 + 5x = -4 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -38 + 5x + -4x = -4 + 4x + -4x Combine like terms: 5x + -4x = 1x -38 + 1x = -4 + 4x + -4x Combine like terms: 4x + -4x = 0 -38 + 1x = -4 + 0 -38 + 1x = -4 Add '38' to each side of the equation. -38 + 38 + 1x = -4 + 38 Combine like terms: -38 + 38 = 0 0 + 1x = -4 + 38 1x = -4 + 38 Combine like terms: -4 + 38 = 34 1x = 34 Divide each side by '1'. x = 34 Simplifying x = 34
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