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Simplifying 11(x + 3) + 4(2x + -1) = 5(3x + -2) + 13 Reorder the terms: 11(3 + x) + 4(2x + -1) = 5(3x + -2) + 13 (3 * 11 + x * 11) + 4(2x + -1) = 5(3x + -2) + 13 (33 + 11x) + 4(2x + -1) = 5(3x + -2) + 13 Reorder the terms: 33 + 11x + 4(-1 + 2x) = 5(3x + -2) + 13 33 + 11x + (-1 * 4 + 2x * 4) = 5(3x + -2) + 13 33 + 11x + (-4 + 8x) = 5(3x + -2) + 13 Reorder the terms: 33 + -4 + 11x + 8x = 5(3x + -2) + 13 Combine like terms: 33 + -4 = 29 29 + 11x + 8x = 5(3x + -2) + 13 Combine like terms: 11x + 8x = 19x 29 + 19x = 5(3x + -2) + 13 Reorder the terms: 29 + 19x = 5(-2 + 3x) + 13 29 + 19x = (-2 * 5 + 3x * 5) + 13 29 + 19x = (-10 + 15x) + 13 Reorder the terms: 29 + 19x = -10 + 13 + 15x Combine like terms: -10 + 13 = 3 29 + 19x = 3 + 15x Solving 29 + 19x = 3 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 29 + 19x + -15x = 3 + 15x + -15x Combine like terms: 19x + -15x = 4x 29 + 4x = 3 + 15x + -15x Combine like terms: 15x + -15x = 0 29 + 4x = 3 + 0 29 + 4x = 3 Add '-29' to each side of the equation. 29 + -29 + 4x = 3 + -29 Combine like terms: 29 + -29 = 0 0 + 4x = 3 + -29 4x = 3 + -29 Combine like terms: 3 + -29 = -26 4x = -26 Divide each side by '4'. x = -6.5 Simplifying x = -6.5
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