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Simplifying 4(3x + -7) + -2 = 4(x + -5) + 62 Reorder the terms: 4(-7 + 3x) + -2 = 4(x + -5) + 62 (-7 * 4 + 3x * 4) + -2 = 4(x + -5) + 62 (-28 + 12x) + -2 = 4(x + -5) + 62 Reorder the terms: -28 + -2 + 12x = 4(x + -5) + 62 Combine like terms: -28 + -2 = -30 -30 + 12x = 4(x + -5) + 62 Reorder the terms: -30 + 12x = 4(-5 + x) + 62 -30 + 12x = (-5 * 4 + x * 4) + 62 -30 + 12x = (-20 + 4x) + 62 Reorder the terms: -30 + 12x = -20 + 62 + 4x Combine like terms: -20 + 62 = 42 -30 + 12x = 42 + 4x Solving -30 + 12x = 42 + 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 = 42 + 4x + -4x Combine like terms: 12x + -4x = 8x -30 + 8x = 42 + 4x + -4x Combine like terms: 4x + -4x = 0 -30 + 8x = 42 + 0 -30 + 8x = 42 Add '30' to each side of the equation. -30 + 30 + 8x = 42 + 30 Combine like terms: -30 + 30 = 0 0 + 8x = 42 + 30 8x = 42 + 30 Combine like terms: 42 + 30 = 72 8x = 72 Divide each side by '8'. x = 9 Simplifying x = 9
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