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Simplifying 6(3x + -5) = 4(4x + 10) Reorder the terms: 6(-5 + 3x) = 4(4x + 10) (-5 * 6 + 3x * 6) = 4(4x + 10) (-30 + 18x) = 4(4x + 10) Reorder the terms: -30 + 18x = 4(10 + 4x) -30 + 18x = (10 * 4 + 4x * 4) -30 + 18x = (40 + 16x) Solving -30 + 18x = 40 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -30 + 18x + -16x = 40 + 16x + -16x Combine like terms: 18x + -16x = 2x -30 + 2x = 40 + 16x + -16x Combine like terms: 16x + -16x = 0 -30 + 2x = 40 + 0 -30 + 2x = 40 Add '30' to each side of the equation. -30 + 30 + 2x = 40 + 30 Combine like terms: -30 + 30 = 0 0 + 2x = 40 + 30 2x = 40 + 30 Combine like terms: 40 + 30 = 70 2x = 70 Divide each side by '2'. x = 35 Simplifying x = 35
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