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Simplifying 4(x + -1) + -5(x + 6) = 7x Reorder the terms: 4(-1 + x) + -5(x + 6) = 7x (-1 * 4 + x * 4) + -5(x + 6) = 7x (-4 + 4x) + -5(x + 6) = 7x Reorder the terms: -4 + 4x + -5(6 + x) = 7x -4 + 4x + (6 * -5 + x * -5) = 7x -4 + 4x + (-30 + -5x) = 7x Reorder the terms: -4 + -30 + 4x + -5x = 7x Combine like terms: -4 + -30 = -34 -34 + 4x + -5x = 7x Combine like terms: 4x + -5x = -1x -34 + -1x = 7x Solving -34 + -1x = 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. -34 + -1x + -7x = 7x + -7x Combine like terms: -1x + -7x = -8x -34 + -8x = 7x + -7x Combine like terms: 7x + -7x = 0 -34 + -8x = 0 Add '34' to each side of the equation. -34 + 34 + -8x = 0 + 34 Combine like terms: -34 + 34 = 0 0 + -8x = 0 + 34 -8x = 0 + 34 Combine like terms: 0 + 34 = 34 -8x = 34 Divide each side by '-8'. x = -4.25 Simplifying x = -4.25
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