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Simplifying -4x + -24 = 8(x + -3) + 7x Reorder the terms: -24 + -4x = 8(x + -3) + 7x Reorder the terms: -24 + -4x = 8(-3 + x) + 7x -24 + -4x = (-3 * 8 + x * 8) + 7x -24 + -4x = (-24 + 8x) + 7x Combine like terms: 8x + 7x = 15x -24 + -4x = -24 + 15x Add '24' to each side of the equation. -24 + 24 + -4x = -24 + 24 + 15x Combine like terms: -24 + 24 = 0 0 + -4x = -24 + 24 + 15x -4x = -24 + 24 + 15x Combine like terms: -24 + 24 = 0 -4x = 0 + 15x -4x = 15x Solving -4x = 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -4x + -15x = 15x + -15x Combine like terms: -4x + -15x = -19x -19x = 15x + -15x Combine like terms: 15x + -15x = 0 -19x = 0 Divide each side by '-19'. x = 0 Simplifying x = 0
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