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Simplifying 4x + -7 = -3(2x + -6) Reorder the terms: -7 + 4x = -3(2x + -6) Reorder the terms: -7 + 4x = -3(-6 + 2x) -7 + 4x = (-6 * -3 + 2x * -3) -7 + 4x = (18 + -6x) Solving -7 + 4x = 18 + -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 = 18 + -6x + 6x Combine like terms: 4x + 6x = 10x -7 + 10x = 18 + -6x + 6x Combine like terms: -6x + 6x = 0 -7 + 10x = 18 + 0 -7 + 10x = 18 Add '7' to each side of the equation. -7 + 7 + 10x = 18 + 7 Combine like terms: -7 + 7 = 0 0 + 10x = 18 + 7 10x = 18 + 7 Combine like terms: 18 + 7 = 25 10x = 25 Divide each side by '10'. x = 2.5 Simplifying x = 2.5
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