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Simplifying 4(3x + -9) + -2 = 4(x + -4) + 34 Reorder the terms: 4(-9 + 3x) + -2 = 4(x + -4) + 34 (-9 * 4 + 3x * 4) + -2 = 4(x + -4) + 34 (-36 + 12x) + -2 = 4(x + -4) + 34 Reorder the terms: -36 + -2 + 12x = 4(x + -4) + 34 Combine like terms: -36 + -2 = -38 -38 + 12x = 4(x + -4) + 34 Reorder the terms: -38 + 12x = 4(-4 + x) + 34 -38 + 12x = (-4 * 4 + x * 4) + 34 -38 + 12x = (-16 + 4x) + 34 Reorder the terms: -38 + 12x = -16 + 34 + 4x Combine like terms: -16 + 34 = 18 -38 + 12x = 18 + 4x Solving -38 + 12x = 18 + 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. -38 + 12x + -4x = 18 + 4x + -4x Combine like terms: 12x + -4x = 8x -38 + 8x = 18 + 4x + -4x Combine like terms: 4x + -4x = 0 -38 + 8x = 18 + 0 -38 + 8x = 18 Add '38' to each side of the equation. -38 + 38 + 8x = 18 + 38 Combine like terms: -38 + 38 = 0 0 + 8x = 18 + 38 8x = 18 + 38 Combine like terms: 18 + 38 = 56 8x = 56 Divide each side by '8'. x = 7 Simplifying x = 7
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