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Simplifying 4x + -6 = 7(x + -4) + -8 Reorder the terms: -6 + 4x = 7(x + -4) + -8 Reorder the terms: -6 + 4x = 7(-4 + x) + -8 -6 + 4x = (-4 * 7 + x * 7) + -8 -6 + 4x = (-28 + 7x) + -8 Reorder the terms: -6 + 4x = -28 + -8 + 7x Combine like terms: -28 + -8 = -36 -6 + 4x = -36 + 7x Solving -6 + 4x = -36 + 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 = -36 + 7x + -7x Combine like terms: 4x + -7x = -3x -6 + -3x = -36 + 7x + -7x Combine like terms: 7x + -7x = 0 -6 + -3x = -36 + 0 -6 + -3x = -36 Add '6' to each side of the equation. -6 + 6 + -3x = -36 + 6 Combine like terms: -6 + 6 = 0 0 + -3x = -36 + 6 -3x = -36 + 6 Combine like terms: -36 + 6 = -30 -3x = -30 Divide each side by '-3'. x = 10 Simplifying x = 10
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