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Simplifying -3(x + 2) + -4 = -7(x + -8) + 6 Reorder the terms: -3(2 + x) + -4 = -7(x + -8) + 6 (2 * -3 + x * -3) + -4 = -7(x + -8) + 6 (-6 + -3x) + -4 = -7(x + -8) + 6 Reorder the terms: -6 + -4 + -3x = -7(x + -8) + 6 Combine like terms: -6 + -4 = -10 -10 + -3x = -7(x + -8) + 6 Reorder the terms: -10 + -3x = -7(-8 + x) + 6 -10 + -3x = (-8 * -7 + x * -7) + 6 -10 + -3x = (56 + -7x) + 6 Reorder the terms: -10 + -3x = 56 + 6 + -7x Combine like terms: 56 + 6 = 62 -10 + -3x = 62 + -7x Solving -10 + -3x = 62 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -10 + -3x + 7x = 62 + -7x + 7x Combine like terms: -3x + 7x = 4x -10 + 4x = 62 + -7x + 7x Combine like terms: -7x + 7x = 0 -10 + 4x = 62 + 0 -10 + 4x = 62 Add '10' to each side of the equation. -10 + 10 + 4x = 62 + 10 Combine like terms: -10 + 10 = 0 0 + 4x = 62 + 10 4x = 62 + 10 Combine like terms: 62 + 10 = 72 4x = 72 Divide each side by '4'. x = 18 Simplifying x = 18
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