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Simplifying 8(x + -6) + -2(x + -3) + 3x = 0 Reorder the terms: 8(-6 + x) + -2(x + -3) + 3x = 0 (-6 * 8 + x * 8) + -2(x + -3) + 3x = 0 (-48 + 8x) + -2(x + -3) + 3x = 0 Reorder the terms: -48 + 8x + -2(-3 + x) + 3x = 0 -48 + 8x + (-3 * -2 + x * -2) + 3x = 0 -48 + 8x + (6 + -2x) + 3x = 0 Reorder the terms: -48 + 6 + 8x + -2x + 3x = 0 Combine like terms: -48 + 6 = -42 -42 + 8x + -2x + 3x = 0 Combine like terms: 8x + -2x = 6x -42 + 6x + 3x = 0 Combine like terms: 6x + 3x = 9x -42 + 9x = 0 Solving -42 + 9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 9x = 0 + 42 Combine like terms: -42 + 42 = 0 0 + 9x = 0 + 42 9x = 0 + 42 Combine like terms: 0 + 42 = 42 9x = 42 Divide each side by '9'. x = 4.666666667 Simplifying x = 4.666666667
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