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Simplifying 4(x + 1) + 2(x + -3) = 5x + 3(2x + 12) + 1 Reorder the terms: 4(1 + x) + 2(x + -3) = 5x + 3(2x + 12) + 1 (1 * 4 + x * 4) + 2(x + -3) = 5x + 3(2x + 12) + 1 (4 + 4x) + 2(x + -3) = 5x + 3(2x + 12) + 1 Reorder the terms: 4 + 4x + 2(-3 + x) = 5x + 3(2x + 12) + 1 4 + 4x + (-3 * 2 + x * 2) = 5x + 3(2x + 12) + 1 4 + 4x + (-6 + 2x) = 5x + 3(2x + 12) + 1 Reorder the terms: 4 + -6 + 4x + 2x = 5x + 3(2x + 12) + 1 Combine like terms: 4 + -6 = -2 -2 + 4x + 2x = 5x + 3(2x + 12) + 1 Combine like terms: 4x + 2x = 6x -2 + 6x = 5x + 3(2x + 12) + 1 Reorder the terms: -2 + 6x = 5x + 3(12 + 2x) + 1 -2 + 6x = 5x + (12 * 3 + 2x * 3) + 1 -2 + 6x = 5x + (36 + 6x) + 1 Reorder the terms: -2 + 6x = 36 + 1 + 5x + 6x Combine like terms: 36 + 1 = 37 -2 + 6x = 37 + 5x + 6x Combine like terms: 5x + 6x = 11x -2 + 6x = 37 + 11x Solving -2 + 6x = 37 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -2 + 6x + -11x = 37 + 11x + -11x Combine like terms: 6x + -11x = -5x -2 + -5x = 37 + 11x + -11x Combine like terms: 11x + -11x = 0 -2 + -5x = 37 + 0 -2 + -5x = 37 Add '2' to each side of the equation. -2 + 2 + -5x = 37 + 2 Combine like terms: -2 + 2 = 0 0 + -5x = 37 + 2 -5x = 37 + 2 Combine like terms: 37 + 2 = 39 -5x = 39 Divide each side by '-5'. x = -7.8 Simplifying x = -7.8
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