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Simplifying x + -23 + -1(15 + -1x) = 4(x + -8) x + -23 + (15 * -1 + -1x * -1) = 4(x + -8) x + -23 + (-15 + 1x) = 4(x + -8) Reorder the terms: -23 + -15 + x + 1x = 4(x + -8) Combine like terms: -23 + -15 = -38 -38 + x + 1x = 4(x + -8) Combine like terms: x + 1x = 2x -38 + 2x = 4(x + -8) Reorder the terms: -38 + 2x = 4(-8 + x) -38 + 2x = (-8 * 4 + x * 4) -38 + 2x = (-32 + 4x) Solving -38 + 2x = -32 + 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 + 2x + -4x = -32 + 4x + -4x Combine like terms: 2x + -4x = -2x -38 + -2x = -32 + 4x + -4x Combine like terms: 4x + -4x = 0 -38 + -2x = -32 + 0 -38 + -2x = -32 Add '38' to each side of the equation. -38 + 38 + -2x = -32 + 38 Combine like terms: -38 + 38 = 0 0 + -2x = -32 + 38 -2x = -32 + 38 Combine like terms: -32 + 38 = 6 -2x = 6 Divide each side by '-2'. x = -3 Simplifying x = -3
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