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Simplifying 2x + -3 = 7(4x + -6) Reorder the terms: -3 + 2x = 7(4x + -6) Reorder the terms: -3 + 2x = 7(-6 + 4x) -3 + 2x = (-6 * 7 + 4x * 7) -3 + 2x = (-42 + 28x) Solving -3 + 2x = -42 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. -3 + 2x + -28x = -42 + 28x + -28x Combine like terms: 2x + -28x = -26x -3 + -26x = -42 + 28x + -28x Combine like terms: 28x + -28x = 0 -3 + -26x = -42 + 0 -3 + -26x = -42 Add '3' to each side of the equation. -3 + 3 + -26x = -42 + 3 Combine like terms: -3 + 3 = 0 0 + -26x = -42 + 3 -26x = -42 + 3 Combine like terms: -42 + 3 = -39 -26x = -39 Divide each side by '-26'. x = 1.5 Simplifying x = 1.5
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