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Simplifying 5(x + -2) + 4x + -3 = 6x + 11 Reorder the terms: 5(-2 + x) + 4x + -3 = 6x + 11 (-2 * 5 + x * 5) + 4x + -3 = 6x + 11 (-10 + 5x) + 4x + -3 = 6x + 11 Reorder the terms: -10 + -3 + 5x + 4x = 6x + 11 Combine like terms: -10 + -3 = -13 -13 + 5x + 4x = 6x + 11 Combine like terms: 5x + 4x = 9x -13 + 9x = 6x + 11 Reorder the terms: -13 + 9x = 11 + 6x Solving -13 + 9x = 11 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -13 + 9x + -6x = 11 + 6x + -6x Combine like terms: 9x + -6x = 3x -13 + 3x = 11 + 6x + -6x Combine like terms: 6x + -6x = 0 -13 + 3x = 11 + 0 -13 + 3x = 11 Add '13' to each side of the equation. -13 + 13 + 3x = 11 + 13 Combine like terms: -13 + 13 = 0 0 + 3x = 11 + 13 3x = 11 + 13 Combine like terms: 11 + 13 = 24 3x = 24 Divide each side by '3'. x = 8 Simplifying x = 8
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