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Simplifying 3(x + -1) + -2 + 3 = 5x + 4(x + 10) Reorder the terms: 3(-1 + x) + -2 + 3 = 5x + 4(x + 10) (-1 * 3 + x * 3) + -2 + 3 = 5x + 4(x + 10) (-3 + 3x) + -2 + 3 = 5x + 4(x + 10) Reorder the terms: -3 + -2 + 3 + 3x = 5x + 4(x + 10) Combine like terms: -3 + -2 = -5 -5 + 3 + 3x = 5x + 4(x + 10) Combine like terms: -5 + 3 = -2 -2 + 3x = 5x + 4(x + 10) Reorder the terms: -2 + 3x = 5x + 4(10 + x) -2 + 3x = 5x + (10 * 4 + x * 4) -2 + 3x = 5x + (40 + 4x) Reorder the terms: -2 + 3x = 40 + 5x + 4x Combine like terms: 5x + 4x = 9x -2 + 3x = 40 + 9x Solving -2 + 3x = 40 + 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. -2 + 3x + -9x = 40 + 9x + -9x Combine like terms: 3x + -9x = -6x -2 + -6x = 40 + 9x + -9x Combine like terms: 9x + -9x = 0 -2 + -6x = 40 + 0 -2 + -6x = 40 Add '2' to each side of the equation. -2 + 2 + -6x = 40 + 2 Combine like terms: -2 + 2 = 0 0 + -6x = 40 + 2 -6x = 40 + 2 Combine like terms: 40 + 2 = 42 -6x = 42 Divide each side by '-6'. x = -7 Simplifying x = -7
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