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Simplifying 4x + 3(1 + 5x) + -12 = 5 + -6(1 + -3x) + 4x + 4 4x + (1 * 3 + 5x * 3) + -12 = 5 + -6(1 + -3x) + 4x + 4 4x + (3 + 15x) + -12 = 5 + -6(1 + -3x) + 4x + 4 Reorder the terms: 3 + -12 + 4x + 15x = 5 + -6(1 + -3x) + 4x + 4 Combine like terms: 3 + -12 = -9 -9 + 4x + 15x = 5 + -6(1 + -3x) + 4x + 4 Combine like terms: 4x + 15x = 19x -9 + 19x = 5 + -6(1 + -3x) + 4x + 4 -9 + 19x = 5 + (1 * -6 + -3x * -6) + 4x + 4 -9 + 19x = 5 + (-6 + 18x) + 4x + 4 Reorder the terms: -9 + 19x = 5 + -6 + 4 + 18x + 4x Combine like terms: 5 + -6 = -1 -9 + 19x = -1 + 4 + 18x + 4x Combine like terms: -1 + 4 = 3 -9 + 19x = 3 + 18x + 4x Combine like terms: 18x + 4x = 22x -9 + 19x = 3 + 22x Solving -9 + 19x = 3 + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. -9 + 19x + -22x = 3 + 22x + -22x Combine like terms: 19x + -22x = -3x -9 + -3x = 3 + 22x + -22x Combine like terms: 22x + -22x = 0 -9 + -3x = 3 + 0 -9 + -3x = 3 Add '9' to each side of the equation. -9 + 9 + -3x = 3 + 9 Combine like terms: -9 + 9 = 0 0 + -3x = 3 + 9 -3x = 3 + 9 Combine like terms: 3 + 9 = 12 -3x = 12 Divide each side by '-3'. x = -4 Simplifying x = -4
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