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Simplifying 4x + -1(3x + 8) = 8x + -36 Reorder the terms: 4x + -1(8 + 3x) = 8x + -36 4x + (8 * -1 + 3x * -1) = 8x + -36 4x + (-8 + -3x) = 8x + -36 Reorder the terms: -8 + 4x + -3x = 8x + -36 Combine like terms: 4x + -3x = 1x -8 + 1x = 8x + -36 Reorder the terms: -8 + 1x = -36 + 8x Solving -8 + 1x = -36 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -8 + 1x + -8x = -36 + 8x + -8x Combine like terms: 1x + -8x = -7x -8 + -7x = -36 + 8x + -8x Combine like terms: 8x + -8x = 0 -8 + -7x = -36 + 0 -8 + -7x = -36 Add '8' to each side of the equation. -8 + 8 + -7x = -36 + 8 Combine like terms: -8 + 8 = 0 0 + -7x = -36 + 8 -7x = -36 + 8 Combine like terms: -36 + 8 = -28 -7x = -28 Divide each side by '-7'. x = 4 Simplifying x = 4
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