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Simplifying 4(x + -6) + 4x + -7 = 7(x + -7) + 4x Reorder the terms: 4(-6 + x) + 4x + -7 = 7(x + -7) + 4x (-6 * 4 + x * 4) + 4x + -7 = 7(x + -7) + 4x (-24 + 4x) + 4x + -7 = 7(x + -7) + 4x Reorder the terms: -24 + -7 + 4x + 4x = 7(x + -7) + 4x Combine like terms: -24 + -7 = -31 -31 + 4x + 4x = 7(x + -7) + 4x Combine like terms: 4x + 4x = 8x -31 + 8x = 7(x + -7) + 4x Reorder the terms: -31 + 8x = 7(-7 + x) + 4x -31 + 8x = (-7 * 7 + x * 7) + 4x -31 + 8x = (-49 + 7x) + 4x Combine like terms: 7x + 4x = 11x -31 + 8x = -49 + 11x Solving -31 + 8x = -49 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -31 + 8x + -11x = -49 + 11x + -11x Combine like terms: 8x + -11x = -3x -31 + -3x = -49 + 11x + -11x Combine like terms: 11x + -11x = 0 -31 + -3x = -49 + 0 -31 + -3x = -49 Add '31' to each side of the equation. -31 + 31 + -3x = -49 + 31 Combine like terms: -31 + 31 = 0 0 + -3x = -49 + 31 -3x = -49 + 31 Combine like terms: -49 + 31 = -18 -3x = -18 Divide each side by '-3'. x = 6 Simplifying x = 6
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