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Simplifying 4x + -46 = 6(x + -8) Reorder the terms: -46 + 4x = 6(x + -8) Reorder the terms: -46 + 4x = 6(-8 + x) -46 + 4x = (-8 * 6 + x * 6) -46 + 4x = (-48 + 6x) Solving -46 + 4x = -48 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -46 + 4x + -6x = -48 + 6x + -6x Combine like terms: 4x + -6x = -2x -46 + -2x = -48 + 6x + -6x Combine like terms: 6x + -6x = 0 -46 + -2x = -48 + 0 -46 + -2x = -48 Add '46' to each side of the equation. -46 + 46 + -2x = -48 + 46 Combine like terms: -46 + 46 = 0 0 + -2x = -48 + 46 -2x = -48 + 46 Combine like terms: -48 + 46 = -2 -2x = -2 Divide each side by '-2'. x = 1 Simplifying x = 1
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