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Simplifying 3(2x + -2) + 11 = 4(x + -3) + -1(2x + 1) Reorder the terms: 3(-2 + 2x) + 11 = 4(x + -3) + -1(2x + 1) (-2 * 3 + 2x * 3) + 11 = 4(x + -3) + -1(2x + 1) (-6 + 6x) + 11 = 4(x + -3) + -1(2x + 1) Reorder the terms: -6 + 11 + 6x = 4(x + -3) + -1(2x + 1) Combine like terms: -6 + 11 = 5 5 + 6x = 4(x + -3) + -1(2x + 1) Reorder the terms: 5 + 6x = 4(-3 + x) + -1(2x + 1) 5 + 6x = (-3 * 4 + x * 4) + -1(2x + 1) 5 + 6x = (-12 + 4x) + -1(2x + 1) Reorder the terms: 5 + 6x = -12 + 4x + -1(1 + 2x) 5 + 6x = -12 + 4x + (1 * -1 + 2x * -1) 5 + 6x = -12 + 4x + (-1 + -2x) Reorder the terms: 5 + 6x = -12 + -1 + 4x + -2x Combine like terms: -12 + -1 = -13 5 + 6x = -13 + 4x + -2x Combine like terms: 4x + -2x = 2x 5 + 6x = -13 + 2x Solving 5 + 6x = -13 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 5 + 6x + -2x = -13 + 2x + -2x Combine like terms: 6x + -2x = 4x 5 + 4x = -13 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + 4x = -13 + 0 5 + 4x = -13 Add '-5' to each side of the equation. 5 + -5 + 4x = -13 + -5 Combine like terms: 5 + -5 = 0 0 + 4x = -13 + -5 4x = -13 + -5 Combine like terms: -13 + -5 = -18 4x = -18 Divide each side by '4'. x = -4.5 Simplifying x = -4.5
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