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Simplifying 5(x + -3) + 4x + -1 = 2x + 3(x + -2) Reorder the terms: 5(-3 + x) + 4x + -1 = 2x + 3(x + -2) (-3 * 5 + x * 5) + 4x + -1 = 2x + 3(x + -2) (-15 + 5x) + 4x + -1 = 2x + 3(x + -2) Reorder the terms: -15 + -1 + 5x + 4x = 2x + 3(x + -2) Combine like terms: -15 + -1 = -16 -16 + 5x + 4x = 2x + 3(x + -2) Combine like terms: 5x + 4x = 9x -16 + 9x = 2x + 3(x + -2) Reorder the terms: -16 + 9x = 2x + 3(-2 + x) -16 + 9x = 2x + (-2 * 3 + x * 3) -16 + 9x = 2x + (-6 + 3x) Reorder the terms: -16 + 9x = -6 + 2x + 3x Combine like terms: 2x + 3x = 5x -16 + 9x = -6 + 5x Solving -16 + 9x = -6 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -16 + 9x + -5x = -6 + 5x + -5x Combine like terms: 9x + -5x = 4x -16 + 4x = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 -16 + 4x = -6 + 0 -16 + 4x = -6 Add '16' to each side of the equation. -16 + 16 + 4x = -6 + 16 Combine like terms: -16 + 16 = 0 0 + 4x = -6 + 16 4x = -6 + 16 Combine like terms: -6 + 16 = 10 4x = 10 Divide each side by '4'. x = 2.5 Simplifying x = 2.5
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