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Simplifying 5(x + -6) + 8x = 8(1 + 4x) Reorder the terms: 5(-6 + x) + 8x = 8(1 + 4x) (-6 * 5 + x * 5) + 8x = 8(1 + 4x) (-30 + 5x) + 8x = 8(1 + 4x) Combine like terms: 5x + 8x = 13x -30 + 13x = 8(1 + 4x) -30 + 13x = (1 * 8 + 4x * 8) -30 + 13x = (8 + 32x) Solving -30 + 13x = 8 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. -30 + 13x + -32x = 8 + 32x + -32x Combine like terms: 13x + -32x = -19x -30 + -19x = 8 + 32x + -32x Combine like terms: 32x + -32x = 0 -30 + -19x = 8 + 0 -30 + -19x = 8 Add '30' to each side of the equation. -30 + 30 + -19x = 8 + 30 Combine like terms: -30 + 30 = 0 0 + -19x = 8 + 30 -19x = 8 + 30 Combine like terms: 8 + 30 = 38 -19x = 38 Divide each side by '-19'. x = -2 Simplifying x = -2
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