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Simplifying 7x + 3(2x + -5) + 11 = 8x + -4(3x + 1) + 34 Reorder the terms: 7x + 3(-5 + 2x) + 11 = 8x + -4(3x + 1) + 34 7x + (-5 * 3 + 2x * 3) + 11 = 8x + -4(3x + 1) + 34 7x + (-15 + 6x) + 11 = 8x + -4(3x + 1) + 34 Reorder the terms: -15 + 11 + 7x + 6x = 8x + -4(3x + 1) + 34 Combine like terms: -15 + 11 = -4 -4 + 7x + 6x = 8x + -4(3x + 1) + 34 Combine like terms: 7x + 6x = 13x -4 + 13x = 8x + -4(3x + 1) + 34 Reorder the terms: -4 + 13x = 8x + -4(1 + 3x) + 34 -4 + 13x = 8x + (1 * -4 + 3x * -4) + 34 -4 + 13x = 8x + (-4 + -12x) + 34 Reorder the terms: -4 + 13x = -4 + 34 + 8x + -12x Combine like terms: -4 + 34 = 30 -4 + 13x = 30 + 8x + -12x Combine like terms: 8x + -12x = -4x -4 + 13x = 30 + -4x Solving -4 + 13x = 30 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -4 + 13x + 4x = 30 + -4x + 4x Combine like terms: 13x + 4x = 17x -4 + 17x = 30 + -4x + 4x Combine like terms: -4x + 4x = 0 -4 + 17x = 30 + 0 -4 + 17x = 30 Add '4' to each side of the equation. -4 + 4 + 17x = 30 + 4 Combine like terms: -4 + 4 = 0 0 + 17x = 30 + 4 17x = 30 + 4 Combine like terms: 30 + 4 = 34 17x = 34 Divide each side by '17'. x = 2 Simplifying x = 2
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