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Simplifying 2(x + 3) + 3(-1x + -5) + 3x + 11 = 4(x + -2) Reorder the terms: 2(3 + x) + 3(-1x + -5) + 3x + 11 = 4(x + -2) (3 * 2 + x * 2) + 3(-1x + -5) + 3x + 11 = 4(x + -2) (6 + 2x) + 3(-1x + -5) + 3x + 11 = 4(x + -2) Reorder the terms: 6 + 2x + 3(-5 + -1x) + 3x + 11 = 4(x + -2) 6 + 2x + (-5 * 3 + -1x * 3) + 3x + 11 = 4(x + -2) 6 + 2x + (-15 + -3x) + 3x + 11 = 4(x + -2) Reorder the terms: 6 + -15 + 11 + 2x + -3x + 3x = 4(x + -2) Combine like terms: 6 + -15 = -9 -9 + 11 + 2x + -3x + 3x = 4(x + -2) Combine like terms: -9 + 11 = 2 2 + 2x + -3x + 3x = 4(x + -2) Combine like terms: 2x + -3x = -1x 2 + -1x + 3x = 4(x + -2) Combine like terms: -1x + 3x = 2x 2 + 2x = 4(x + -2) Reorder the terms: 2 + 2x = 4(-2 + x) 2 + 2x = (-2 * 4 + x * 4) 2 + 2x = (-8 + 4x) Solving 2 + 2x = -8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 2 + 2x + -4x = -8 + 4x + -4x Combine like terms: 2x + -4x = -2x 2 + -2x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 2 + -2x = -8 + 0 2 + -2x = -8 Add '-2' to each side of the equation. 2 + -2 + -2x = -8 + -2 Combine like terms: 2 + -2 = 0 0 + -2x = -8 + -2 -2x = -8 + -2 Combine like terms: -8 + -2 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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