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Simplifying -5x + -8(1 + 3x) = 4x + -3x + -63 + -5 -5x + (1 * -8 + 3x * -8) = 4x + -3x + -63 + -5 -5x + (-8 + -24x) = 4x + -3x + -63 + -5 Reorder the terms: -8 + -5x + -24x = 4x + -3x + -63 + -5 Combine like terms: -5x + -24x = -29x -8 + -29x = 4x + -3x + -63 + -5 Reorder the terms: -8 + -29x = -63 + -5 + 4x + -3x Combine like terms: -63 + -5 = -68 -8 + -29x = -68 + 4x + -3x Combine like terms: 4x + -3x = 1x -8 + -29x = -68 + 1x Solving -8 + -29x = -68 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -8 + -29x + -1x = -68 + 1x + -1x Combine like terms: -29x + -1x = -30x -8 + -30x = -68 + 1x + -1x Combine like terms: 1x + -1x = 0 -8 + -30x = -68 + 0 -8 + -30x = -68 Add '8' to each side of the equation. -8 + 8 + -30x = -68 + 8 Combine like terms: -8 + 8 = 0 0 + -30x = -68 + 8 -30x = -68 + 8 Combine like terms: -68 + 8 = -60 -30x = -60 Divide each side by '-30'. x = 2 Simplifying x = 2
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