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Simplifying 4(3x + -2) + -2 = 4(x + -2) + 70 Reorder the terms: 4(-2 + 3x) + -2 = 4(x + -2) + 70 (-2 * 4 + 3x * 4) + -2 = 4(x + -2) + 70 (-8 + 12x) + -2 = 4(x + -2) + 70 Reorder the terms: -8 + -2 + 12x = 4(x + -2) + 70 Combine like terms: -8 + -2 = -10 -10 + 12x = 4(x + -2) + 70 Reorder the terms: -10 + 12x = 4(-2 + x) + 70 -10 + 12x = (-2 * 4 + x * 4) + 70 -10 + 12x = (-8 + 4x) + 70 Reorder the terms: -10 + 12x = -8 + 70 + 4x Combine like terms: -8 + 70 = 62 -10 + 12x = 62 + 4x Solving -10 + 12x = 62 + 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. -10 + 12x + -4x = 62 + 4x + -4x Combine like terms: 12x + -4x = 8x -10 + 8x = 62 + 4x + -4x Combine like terms: 4x + -4x = 0 -10 + 8x = 62 + 0 -10 + 8x = 62 Add '10' to each side of the equation. -10 + 10 + 8x = 62 + 10 Combine like terms: -10 + 10 = 0 0 + 8x = 62 + 10 8x = 62 + 10 Combine like terms: 62 + 10 = 72 8x = 72 Divide each side by '8'. x = 9 Simplifying x = 9
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