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Simplifying 6(x + -8) = 4(x + 10) Reorder the terms: 6(-8 + x) = 4(x + 10) (-8 * 6 + x * 6) = 4(x + 10) (-48 + 6x) = 4(x + 10) Reorder the terms: -48 + 6x = 4(10 + x) -48 + 6x = (10 * 4 + x * 4) -48 + 6x = (40 + 4x) Solving -48 + 6x = 40 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -48 + 6x + -4x = 40 + 4x + -4x Combine like terms: 6x + -4x = 2x -48 + 2x = 40 + 4x + -4x Combine like terms: 4x + -4x = 0 -48 + 2x = 40 + 0 -48 + 2x = 40 Add '48' to each side of the equation. -48 + 48 + 2x = 40 + 48 Combine like terms: -48 + 48 = 0 0 + 2x = 40 + 48 2x = 40 + 48 Combine like terms: 40 + 48 = 88 2x = 88 Divide each side by '2'. x = 44 Simplifying x = 44
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