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Simplifying 11 + -4(3 + -2x) = 5(3x + 1) + 1 11 + (3 * -4 + -2x * -4) = 5(3x + 1) + 1 11 + (-12 + 8x) = 5(3x + 1) + 1 Combine like terms: 11 + -12 = -1 -1 + 8x = 5(3x + 1) + 1 Reorder the terms: -1 + 8x = 5(1 + 3x) + 1 -1 + 8x = (1 * 5 + 3x * 5) + 1 -1 + 8x = (5 + 15x) + 1 Reorder the terms: -1 + 8x = 5 + 1 + 15x Combine like terms: 5 + 1 = 6 -1 + 8x = 6 + 15x Solving -1 + 8x = 6 + 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. -1 + 8x + -15x = 6 + 15x + -15x Combine like terms: 8x + -15x = -7x -1 + -7x = 6 + 15x + -15x Combine like terms: 15x + -15x = 0 -1 + -7x = 6 + 0 -1 + -7x = 6 Add '1' to each side of the equation. -1 + 1 + -7x = 6 + 1 Combine like terms: -1 + 1 = 0 0 + -7x = 6 + 1 -7x = 6 + 1 Combine like terms: 6 + 1 = 7 -7x = 7 Divide each side by '-7'. x = -1 Simplifying x = -1
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