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Simplifying 3(4x + -2) + -5x = 7(x + -3) + 3x + 18 Reorder the terms: 3(-2 + 4x) + -5x = 7(x + -3) + 3x + 18 (-2 * 3 + 4x * 3) + -5x = 7(x + -3) + 3x + 18 (-6 + 12x) + -5x = 7(x + -3) + 3x + 18 Combine like terms: 12x + -5x = 7x -6 + 7x = 7(x + -3) + 3x + 18 Reorder the terms: -6 + 7x = 7(-3 + x) + 3x + 18 -6 + 7x = (-3 * 7 + x * 7) + 3x + 18 -6 + 7x = (-21 + 7x) + 3x + 18 Reorder the terms: -6 + 7x = -21 + 18 + 7x + 3x Combine like terms: -21 + 18 = -3 -6 + 7x = -3 + 7x + 3x Combine like terms: 7x + 3x = 10x -6 + 7x = -3 + 10x Solving -6 + 7x = -3 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -6 + 7x + -10x = -3 + 10x + -10x Combine like terms: 7x + -10x = -3x -6 + -3x = -3 + 10x + -10x Combine like terms: 10x + -10x = 0 -6 + -3x = -3 + 0 -6 + -3x = -3 Add '6' to each side of the equation. -6 + 6 + -3x = -3 + 6 Combine like terms: -6 + 6 = 0 0 + -3x = -3 + 6 -3x = -3 + 6 Combine like terms: -3 + 6 = 3 -3x = 3 Divide each side by '-3'. x = -1 Simplifying x = -1
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