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Simplifying -4x + 5x + 3(x + -2) = 7x + -8(2 + 4) Reorder the terms: -4x + 5x + 3(-2 + x) = 7x + -8(2 + 4) -4x + 5x + (-2 * 3 + x * 3) = 7x + -8(2 + 4) -4x + 5x + (-6 + 3x) = 7x + -8(2 + 4) Reorder the terms: -6 + -4x + 5x + 3x = 7x + -8(2 + 4) Combine like terms: -4x + 5x = 1x -6 + 1x + 3x = 7x + -8(2 + 4) Combine like terms: 1x + 3x = 4x -6 + 4x = 7x + -8(2 + 4) Combine like terms: 2 + 4 = 6 -6 + 4x = 7x + -8(6) Multiply -8 * 6 -6 + 4x = 7x + -48 Reorder the terms: -6 + 4x = -48 + 7x Solving -6 + 4x = -48 + 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. -6 + 4x + -7x = -48 + 7x + -7x Combine like terms: 4x + -7x = -3x -6 + -3x = -48 + 7x + -7x Combine like terms: 7x + -7x = 0 -6 + -3x = -48 + 0 -6 + -3x = -48 Add '6' to each side of the equation. -6 + 6 + -3x = -48 + 6 Combine like terms: -6 + 6 = 0 0 + -3x = -48 + 6 -3x = -48 + 6 Combine like terms: -48 + 6 = -42 -3x = -42 Divide each side by '-3'. x = 14 Simplifying x = 14
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