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Simplifying 4(x + -3) + -2(13 + -1x) = 4(x + 3) Reorder the terms: 4(-3 + x) + -2(13 + -1x) = 4(x + 3) (-3 * 4 + x * 4) + -2(13 + -1x) = 4(x + 3) (-12 + 4x) + -2(13 + -1x) = 4(x + 3) -12 + 4x + (13 * -2 + -1x * -2) = 4(x + 3) -12 + 4x + (-26 + 2x) = 4(x + 3) Reorder the terms: -12 + -26 + 4x + 2x = 4(x + 3) Combine like terms: -12 + -26 = -38 -38 + 4x + 2x = 4(x + 3) Combine like terms: 4x + 2x = 6x -38 + 6x = 4(x + 3) Reorder the terms: -38 + 6x = 4(3 + x) -38 + 6x = (3 * 4 + x * 4) -38 + 6x = (12 + 4x) Solving -38 + 6x = 12 + 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 + 6x + -4x = 12 + 4x + -4x Combine like terms: 6x + -4x = 2x -38 + 2x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 -38 + 2x = 12 + 0 -38 + 2x = 12 Add '38' to each side of the equation. -38 + 38 + 2x = 12 + 38 Combine like terms: -38 + 38 = 0 0 + 2x = 12 + 38 2x = 12 + 38 Combine like terms: 12 + 38 = 50 2x = 50 Divide each side by '2'. x = 25 Simplifying x = 25
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