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Simplifying 2x + -6x + 7 = -3(2x + -4) Reorder the terms: 7 + 2x + -6x = -3(2x + -4) Combine like terms: 2x + -6x = -4x 7 + -4x = -3(2x + -4) Reorder the terms: 7 + -4x = -3(-4 + 2x) 7 + -4x = (-4 * -3 + 2x * -3) 7 + -4x = (12 + -6x) Solving 7 + -4x = 12 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 7 + -4x + 6x = 12 + -6x + 6x Combine like terms: -4x + 6x = 2x 7 + 2x = 12 + -6x + 6x Combine like terms: -6x + 6x = 0 7 + 2x = 12 + 0 7 + 2x = 12 Add '-7' to each side of the equation. 7 + -7 + 2x = 12 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = 12 + -7 2x = 12 + -7 Combine like terms: 12 + -7 = 5 2x = 5 Divide each side by '2'. x = 2.5 Simplifying x = 2.5
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