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Simplifying 10(2x + -3) = 6(4x + -11) Reorder the terms: 10(-3 + 2x) = 6(4x + -11) (-3 * 10 + 2x * 10) = 6(4x + -11) (-30 + 20x) = 6(4x + -11) Reorder the terms: -30 + 20x = 6(-11 + 4x) -30 + 20x = (-11 * 6 + 4x * 6) -30 + 20x = (-66 + 24x) Solving -30 + 20x = -66 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -30 + 20x + -24x = -66 + 24x + -24x Combine like terms: 20x + -24x = -4x -30 + -4x = -66 + 24x + -24x Combine like terms: 24x + -24x = 0 -30 + -4x = -66 + 0 -30 + -4x = -66 Add '30' to each side of the equation. -30 + 30 + -4x = -66 + 30 Combine like terms: -30 + 30 = 0 0 + -4x = -66 + 30 -4x = -66 + 30 Combine like terms: -66 + 30 = -36 -4x = -36 Divide each side by '-4'. x = 9 Simplifying x = 9
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