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Simplifying 2(4x + -3) = 52 + -3(x + 1) Reorder the terms: 2(-3 + 4x) = 52 + -3(x + 1) (-3 * 2 + 4x * 2) = 52 + -3(x + 1) (-6 + 8x) = 52 + -3(x + 1) Reorder the terms: -6 + 8x = 52 + -3(1 + x) -6 + 8x = 52 + (1 * -3 + x * -3) -6 + 8x = 52 + (-3 + -3x) Combine like terms: 52 + -3 = 49 -6 + 8x = 49 + -3x Solving -6 + 8x = 49 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -6 + 8x + 3x = 49 + -3x + 3x Combine like terms: 8x + 3x = 11x -6 + 11x = 49 + -3x + 3x Combine like terms: -3x + 3x = 0 -6 + 11x = 49 + 0 -6 + 11x = 49 Add '6' to each side of the equation. -6 + 6 + 11x = 49 + 6 Combine like terms: -6 + 6 = 0 0 + 11x = 49 + 6 11x = 49 + 6 Combine like terms: 49 + 6 = 55 11x = 55 Divide each side by '11'. x = 5 Simplifying x = 5
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