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Simplifying 4(2x + -7) + 34 = 4(3x + 1) + -6(x + -3) Reorder the terms: 4(-7 + 2x) + 34 = 4(3x + 1) + -6(x + -3) (-7 * 4 + 2x * 4) + 34 = 4(3x + 1) + -6(x + -3) (-28 + 8x) + 34 = 4(3x + 1) + -6(x + -3) Reorder the terms: -28 + 34 + 8x = 4(3x + 1) + -6(x + -3) Combine like terms: -28 + 34 = 6 6 + 8x = 4(3x + 1) + -6(x + -3) Reorder the terms: 6 + 8x = 4(1 + 3x) + -6(x + -3) 6 + 8x = (1 * 4 + 3x * 4) + -6(x + -3) 6 + 8x = (4 + 12x) + -6(x + -3) Reorder the terms: 6 + 8x = 4 + 12x + -6(-3 + x) 6 + 8x = 4 + 12x + (-3 * -6 + x * -6) 6 + 8x = 4 + 12x + (18 + -6x) Reorder the terms: 6 + 8x = 4 + 18 + 12x + -6x Combine like terms: 4 + 18 = 22 6 + 8x = 22 + 12x + -6x Combine like terms: 12x + -6x = 6x 6 + 8x = 22 + 6x Solving 6 + 8x = 22 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 6 + 8x + -6x = 22 + 6x + -6x Combine like terms: 8x + -6x = 2x 6 + 2x = 22 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + 2x = 22 + 0 6 + 2x = 22 Add '-6' to each side of the equation. 6 + -6 + 2x = 22 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = 22 + -6 2x = 22 + -6 Combine like terms: 22 + -6 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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