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Simplifying 4(x + 3) + 1 = 5(2x + -3) + -1(x + 2) Reorder the terms: 4(3 + x) + 1 = 5(2x + -3) + -1(x + 2) (3 * 4 + x * 4) + 1 = 5(2x + -3) + -1(x + 2) (12 + 4x) + 1 = 5(2x + -3) + -1(x + 2) Reorder the terms: 12 + 1 + 4x = 5(2x + -3) + -1(x + 2) Combine like terms: 12 + 1 = 13 13 + 4x = 5(2x + -3) + -1(x + 2) Reorder the terms: 13 + 4x = 5(-3 + 2x) + -1(x + 2) 13 + 4x = (-3 * 5 + 2x * 5) + -1(x + 2) 13 + 4x = (-15 + 10x) + -1(x + 2) Reorder the terms: 13 + 4x = -15 + 10x + -1(2 + x) 13 + 4x = -15 + 10x + (2 * -1 + x * -1) 13 + 4x = -15 + 10x + (-2 + -1x) Reorder the terms: 13 + 4x = -15 + -2 + 10x + -1x Combine like terms: -15 + -2 = -17 13 + 4x = -17 + 10x + -1x Combine like terms: 10x + -1x = 9x 13 + 4x = -17 + 9x Solving 13 + 4x = -17 + 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. 13 + 4x + -9x = -17 + 9x + -9x Combine like terms: 4x + -9x = -5x 13 + -5x = -17 + 9x + -9x Combine like terms: 9x + -9x = 0 13 + -5x = -17 + 0 13 + -5x = -17 Add '-13' to each side of the equation. 13 + -13 + -5x = -17 + -13 Combine like terms: 13 + -13 = 0 0 + -5x = -17 + -13 -5x = -17 + -13 Combine like terms: -17 + -13 = -30 -5x = -30 Divide each side by '-5'. x = 6 Simplifying x = 6
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