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Simplifying 5x + -4(x + -3) = 2 + -3(x + 1) Reorder the terms: 5x + -4(-3 + x) = 2 + -3(x + 1) 5x + (-3 * -4 + x * -4) = 2 + -3(x + 1) 5x + (12 + -4x) = 2 + -3(x + 1) Reorder the terms: 12 + 5x + -4x = 2 + -3(x + 1) Combine like terms: 5x + -4x = 1x 12 + 1x = 2 + -3(x + 1) Reorder the terms: 12 + 1x = 2 + -3(1 + x) 12 + 1x = 2 + (1 * -3 + x * -3) 12 + 1x = 2 + (-3 + -3x) Combine like terms: 2 + -3 = -1 12 + 1x = -1 + -3x Solving 12 + 1x = -1 + -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. 12 + 1x + 3x = -1 + -3x + 3x Combine like terms: 1x + 3x = 4x 12 + 4x = -1 + -3x + 3x Combine like terms: -3x + 3x = 0 12 + 4x = -1 + 0 12 + 4x = -1 Add '-12' to each side of the equation. 12 + -12 + 4x = -1 + -12 Combine like terms: 12 + -12 = 0 0 + 4x = -1 + -12 4x = -1 + -12 Combine like terms: -1 + -12 = -13 4x = -13 Divide each side by '4'. x = -3.25 Simplifying x = -3.25
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