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Simplifying 3x(4x + -5) + -30 = 4x(3x + 1) + 8 Reorder the terms: 3x(-5 + 4x) + -30 = 4x(3x + 1) + 8 (-5 * 3x + 4x * 3x) + -30 = 4x(3x + 1) + 8 (-15x + 12x2) + -30 = 4x(3x + 1) + 8 Reorder the terms: -30 + -15x + 12x2 = 4x(3x + 1) + 8 Reorder the terms: -30 + -15x + 12x2 = 4x(1 + 3x) + 8 -30 + -15x + 12x2 = (1 * 4x + 3x * 4x) + 8 -30 + -15x + 12x2 = (4x + 12x2) + 8 Reorder the terms: -30 + -15x + 12x2 = 8 + 4x + 12x2 Add '-12x2' to each side of the equation. -30 + -15x + 12x2 + -12x2 = 8 + 4x + 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 -30 + -15x + 0 = 8 + 4x + 12x2 + -12x2 -30 + -15x = 8 + 4x + 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 -30 + -15x = 8 + 4x + 0 -30 + -15x = 8 + 4x Solving -30 + -15x = 8 + 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. -30 + -15x + -4x = 8 + 4x + -4x Combine like terms: -15x + -4x = -19x -30 + -19x = 8 + 4x + -4x Combine like terms: 4x + -4x = 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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