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Simplifying 4(3x + -7) + -2 = 4(x + -2) + 34 Reorder the terms: 4(-7 + 3x) + -2 = 4(x + -2) + 34 (-7 * 4 + 3x * 4) + -2 = 4(x + -2) + 34 (-28 + 12x) + -2 = 4(x + -2) + 34 Reorder the terms: -28 + -2 + 12x = 4(x + -2) + 34 Combine like terms: -28 + -2 = -30 -30 + 12x = 4(x + -2) + 34 Reorder the terms: -30 + 12x = 4(-2 + x) + 34 -30 + 12x = (-2 * 4 + x * 4) + 34 -30 + 12x = (-8 + 4x) + 34 Reorder the terms: -30 + 12x = -8 + 34 + 4x Combine like terms: -8 + 34 = 26 -30 + 12x = 26 + 4x Solving -30 + 12x = 26 + 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. -30 + 12x + -4x = 26 + 4x + -4x Combine like terms: 12x + -4x = 8x -30 + 8x = 26 + 4x + -4x Combine like terms: 4x + -4x = 0 -30 + 8x = 26 + 0 -30 + 8x = 26 Add '30' to each side of the equation. -30 + 30 + 8x = 26 + 30 Combine like terms: -30 + 30 = 0 0 + 8x = 26 + 30 8x = 26 + 30 Combine like terms: 26 + 30 = 56 8x = 56 Divide each side by '8'. x = 7 Simplifying x = 7
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