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Simplifying 5(x + 11) = 3x + 4(x + -3) + -1 Reorder the terms: 5(11 + x) = 3x + 4(x + -3) + -1 (11 * 5 + x * 5) = 3x + 4(x + -3) + -1 (55 + 5x) = 3x + 4(x + -3) + -1 Reorder the terms: 55 + 5x = 3x + 4(-3 + x) + -1 55 + 5x = 3x + (-3 * 4 + x * 4) + -1 55 + 5x = 3x + (-12 + 4x) + -1 Reorder the terms: 55 + 5x = -12 + -1 + 3x + 4x Combine like terms: -12 + -1 = -13 55 + 5x = -13 + 3x + 4x Combine like terms: 3x + 4x = 7x 55 + 5x = -13 + 7x Solving 55 + 5x = -13 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 55 + 5x + -7x = -13 + 7x + -7x Combine like terms: 5x + -7x = -2x 55 + -2x = -13 + 7x + -7x Combine like terms: 7x + -7x = 0 55 + -2x = -13 + 0 55 + -2x = -13 Add '-55' to each side of the equation. 55 + -55 + -2x = -13 + -55 Combine like terms: 55 + -55 = 0 0 + -2x = -13 + -55 -2x = -13 + -55 Combine like terms: -13 + -55 = -68 -2x = -68 Divide each side by '-2'. x = 34 Simplifying x = 34
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