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Simplifying 4x + -3(5x + 7) + -11 = 11 + 4(-3x + -2) + 2x Reorder the terms: 4x + -3(7 + 5x) + -11 = 11 + 4(-3x + -2) + 2x 4x + (7 * -3 + 5x * -3) + -11 = 11 + 4(-3x + -2) + 2x 4x + (-21 + -15x) + -11 = 11 + 4(-3x + -2) + 2x Reorder the terms: -21 + -11 + 4x + -15x = 11 + 4(-3x + -2) + 2x Combine like terms: -21 + -11 = -32 -32 + 4x + -15x = 11 + 4(-3x + -2) + 2x Combine like terms: 4x + -15x = -11x -32 + -11x = 11 + 4(-3x + -2) + 2x Reorder the terms: -32 + -11x = 11 + 4(-2 + -3x) + 2x -32 + -11x = 11 + (-2 * 4 + -3x * 4) + 2x -32 + -11x = 11 + (-8 + -12x) + 2x Combine like terms: 11 + -8 = 3 -32 + -11x = 3 + -12x + 2x Combine like terms: -12x + 2x = -10x -32 + -11x = 3 + -10x Solving -32 + -11x = 3 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -32 + -11x + 10x = 3 + -10x + 10x Combine like terms: -11x + 10x = -1x -32 + -1x = 3 + -10x + 10x Combine like terms: -10x + 10x = 0 -32 + -1x = 3 + 0 -32 + -1x = 3 Add '32' to each side of the equation. -32 + 32 + -1x = 3 + 32 Combine like terms: -32 + 32 = 0 0 + -1x = 3 + 32 -1x = 3 + 32 Combine like terms: 3 + 32 = 35 -1x = 35 Divide each side by '-1'. x = -35 Simplifying x = -35
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