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Simplifying 2x + 3(5x + -4) = 5x + -1(-7x + -18) Reorder the terms: 2x + 3(-4 + 5x) = 5x + -1(-7x + -18) 2x + (-4 * 3 + 5x * 3) = 5x + -1(-7x + -18) 2x + (-12 + 15x) = 5x + -1(-7x + -18) Reorder the terms: -12 + 2x + 15x = 5x + -1(-7x + -18) Combine like terms: 2x + 15x = 17x -12 + 17x = 5x + -1(-7x + -18) Reorder the terms: -12 + 17x = 5x + -1(-18 + -7x) -12 + 17x = 5x + (-18 * -1 + -7x * -1) -12 + 17x = 5x + (18 + 7x) Reorder the terms: -12 + 17x = 18 + 5x + 7x Combine like terms: 5x + 7x = 12x -12 + 17x = 18 + 12x Solving -12 + 17x = 18 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -12 + 17x + -12x = 18 + 12x + -12x Combine like terms: 17x + -12x = 5x -12 + 5x = 18 + 12x + -12x Combine like terms: 12x + -12x = 0 -12 + 5x = 18 + 0 -12 + 5x = 18 Add '12' to each side of the equation. -12 + 12 + 5x = 18 + 12 Combine like terms: -12 + 12 = 0 0 + 5x = 18 + 12 5x = 18 + 12 Combine like terms: 18 + 12 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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