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Simplifying 4(4x + -7) + -2 = 4(x + -2) + 62 Reorder the terms: 4(-7 + 4x) + -2 = 4(x + -2) + 62 (-7 * 4 + 4x * 4) + -2 = 4(x + -2) + 62 (-28 + 16x) + -2 = 4(x + -2) + 62 Reorder the terms: -28 + -2 + 16x = 4(x + -2) + 62 Combine like terms: -28 + -2 = -30 -30 + 16x = 4(x + -2) + 62 Reorder the terms: -30 + 16x = 4(-2 + x) + 62 -30 + 16x = (-2 * 4 + x * 4) + 62 -30 + 16x = (-8 + 4x) + 62 Reorder the terms: -30 + 16x = -8 + 62 + 4x Combine like terms: -8 + 62 = 54 -30 + 16x = 54 + 4x Solving -30 + 16x = 54 + 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 + 16x + -4x = 54 + 4x + -4x Combine like terms: 16x + -4x = 12x -30 + 12x = 54 + 4x + -4x Combine like terms: 4x + -4x = 0 -30 + 12x = 54 + 0 -30 + 12x = 54 Add '30' to each side of the equation. -30 + 30 + 12x = 54 + 30 Combine like terms: -30 + 30 = 0 0 + 12x = 54 + 30 12x = 54 + 30 Combine like terms: 54 + 30 = 84 12x = 84 Divide each side by '12'. x = 7 Simplifying x = 7
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