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Simplifying 8(x + -6) + -3x = 8 + -2x Reorder the terms: 8(-6 + x) + -3x = 8 + -2x (-6 * 8 + x * 8) + -3x = 8 + -2x (-48 + 8x) + -3x = 8 + -2x Combine like terms: 8x + -3x = 5x -48 + 5x = 8 + -2x Solving -48 + 5x = 8 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -48 + 5x + 2x = 8 + -2x + 2x Combine like terms: 5x + 2x = 7x -48 + 7x = 8 + -2x + 2x Combine like terms: -2x + 2x = 0 -48 + 7x = 8 + 0 -48 + 7x = 8 Add '48' to each side of the equation. -48 + 48 + 7x = 8 + 48 Combine like terms: -48 + 48 = 0 0 + 7x = 8 + 48 7x = 8 + 48 Combine like terms: 8 + 48 = 56 7x = 56 Divide each side by '7'. x = 8 Simplifying x = 8
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