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Simplifying 2(x + -3) = 7(x + 4) Reorder the terms: 2(-3 + x) = 7(x + 4) (-3 * 2 + x * 2) = 7(x + 4) (-6 + 2x) = 7(x + 4) Reorder the terms: -6 + 2x = 7(4 + x) -6 + 2x = (4 * 7 + x * 7) -6 + 2x = (28 + 7x) Solving -6 + 2x = 28 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -6 + 2x + -7x = 28 + 7x + -7x Combine like terms: 2x + -7x = -5x -6 + -5x = 28 + 7x + -7x Combine like terms: 7x + -7x = 0 -6 + -5x = 28 + 0 -6 + -5x = 28 Add '6' to each side of the equation. -6 + 6 + -5x = 28 + 6 Combine like terms: -6 + 6 = 0 0 + -5x = 28 + 6 -5x = 28 + 6 Combine like terms: 28 + 6 = 34 -5x = 34 Divide each side by '-5'. x = -6.8 Simplifying x = -6.8
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