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Simplifying 4(x + 1) + -1 = 6(2x + -3) + -3(x + -2) Reorder the terms: 4(1 + x) + -1 = 6(2x + -3) + -3(x + -2) (1 * 4 + x * 4) + -1 = 6(2x + -3) + -3(x + -2) (4 + 4x) + -1 = 6(2x + -3) + -3(x + -2) Reorder the terms: 4 + -1 + 4x = 6(2x + -3) + -3(x + -2) Combine like terms: 4 + -1 = 3 3 + 4x = 6(2x + -3) + -3(x + -2) Reorder the terms: 3 + 4x = 6(-3 + 2x) + -3(x + -2) 3 + 4x = (-3 * 6 + 2x * 6) + -3(x + -2) 3 + 4x = (-18 + 12x) + -3(x + -2) Reorder the terms: 3 + 4x = -18 + 12x + -3(-2 + x) 3 + 4x = -18 + 12x + (-2 * -3 + x * -3) 3 + 4x = -18 + 12x + (6 + -3x) Reorder the terms: 3 + 4x = -18 + 6 + 12x + -3x Combine like terms: -18 + 6 = -12 3 + 4x = -12 + 12x + -3x Combine like terms: 12x + -3x = 9x 3 + 4x = -12 + 9x Solving 3 + 4x = -12 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 3 + 4x + -9x = -12 + 9x + -9x Combine like terms: 4x + -9x = -5x 3 + -5x = -12 + 9x + -9x Combine like terms: 9x + -9x = 0 3 + -5x = -12 + 0 3 + -5x = -12 Add '-3' to each side of the equation. 3 + -3 + -5x = -12 + -3 Combine like terms: 3 + -3 = 0 0 + -5x = -12 + -3 -5x = -12 + -3 Combine like terms: -12 + -3 = -15 -5x = -15 Divide each side by '-5'. x = 3 Simplifying x = 3
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