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Simplifying 5x + -2(x + -1) + 11 = 4x + -3(x + -2) + 5 Reorder the terms: 5x + -2(-1 + x) + 11 = 4x + -3(x + -2) + 5 5x + (-1 * -2 + x * -2) + 11 = 4x + -3(x + -2) + 5 5x + (2 + -2x) + 11 = 4x + -3(x + -2) + 5 Reorder the terms: 2 + 11 + 5x + -2x = 4x + -3(x + -2) + 5 Combine like terms: 2 + 11 = 13 13 + 5x + -2x = 4x + -3(x + -2) + 5 Combine like terms: 5x + -2x = 3x 13 + 3x = 4x + -3(x + -2) + 5 Reorder the terms: 13 + 3x = 4x + -3(-2 + x) + 5 13 + 3x = 4x + (-2 * -3 + x * -3) + 5 13 + 3x = 4x + (6 + -3x) + 5 Reorder the terms: 13 + 3x = 6 + 5 + 4x + -3x Combine like terms: 6 + 5 = 11 13 + 3x = 11 + 4x + -3x Combine like terms: 4x + -3x = 1x 13 + 3x = 11 + 1x Solving 13 + 3x = 11 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 13 + 3x + -1x = 11 + 1x + -1x Combine like terms: 3x + -1x = 2x 13 + 2x = 11 + 1x + -1x Combine like terms: 1x + -1x = 0 13 + 2x = 11 + 0 13 + 2x = 11 Add '-13' to each side of the equation. 13 + -13 + 2x = 11 + -13 Combine like terms: 13 + -13 = 0 0 + 2x = 11 + -13 2x = 11 + -13 Combine like terms: 11 + -13 = -2 2x = -2 Divide each side by '2'. x = -1 Simplifying x = -1
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