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Simplifying 6 + -3(2x + -4) = 2 + 5(3x + -3) Reorder the terms: 6 + -3(-4 + 2x) = 2 + 5(3x + -3) 6 + (-4 * -3 + 2x * -3) = 2 + 5(3x + -3) 6 + (12 + -6x) = 2 + 5(3x + -3) Combine like terms: 6 + 12 = 18 18 + -6x = 2 + 5(3x + -3) Reorder the terms: 18 + -6x = 2 + 5(-3 + 3x) 18 + -6x = 2 + (-3 * 5 + 3x * 5) 18 + -6x = 2 + (-15 + 15x) Combine like terms: 2 + -15 = -13 18 + -6x = -13 + 15x Solving 18 + -6x = -13 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 18 + -6x + -15x = -13 + 15x + -15x Combine like terms: -6x + -15x = -21x 18 + -21x = -13 + 15x + -15x Combine like terms: 15x + -15x = 0 18 + -21x = -13 + 0 18 + -21x = -13 Add '-18' to each side of the equation. 18 + -18 + -21x = -13 + -18 Combine like terms: 18 + -18 = 0 0 + -21x = -13 + -18 -21x = -13 + -18 Combine like terms: -13 + -18 = -31 -21x = -31 Divide each side by '-21'. x = 1.476190476 Simplifying x = 1.476190476
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