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Simplifying 10(x + -3) = 6(3x + -8) Reorder the terms: 10(-3 + x) = 6(3x + -8) (-3 * 10 + x * 10) = 6(3x + -8) (-30 + 10x) = 6(3x + -8) Reorder the terms: -30 + 10x = 6(-8 + 3x) -30 + 10x = (-8 * 6 + 3x * 6) -30 + 10x = (-48 + 18x) Solving -30 + 10x = -48 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -30 + 10x + -18x = -48 + 18x + -18x Combine like terms: 10x + -18x = -8x -30 + -8x = -48 + 18x + -18x Combine like terms: 18x + -18x = 0 -30 + -8x = -48 + 0 -30 + -8x = -48 Add '30' to each side of the equation. -30 + 30 + -8x = -48 + 30 Combine like terms: -30 + 30 = 0 0 + -8x = -48 + 30 -8x = -48 + 30 Combine like terms: -48 + 30 = -18 -8x = -18 Divide each side by '-8'. x = 2.25 Simplifying x = 2.25
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