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Simplifying 6(3x + -4) + -10(x + -3) = 10(2x + -3) Reorder the terms: 6(-4 + 3x) + -10(x + -3) = 10(2x + -3) (-4 * 6 + 3x * 6) + -10(x + -3) = 10(2x + -3) (-24 + 18x) + -10(x + -3) = 10(2x + -3) Reorder the terms: -24 + 18x + -10(-3 + x) = 10(2x + -3) -24 + 18x + (-3 * -10 + x * -10) = 10(2x + -3) -24 + 18x + (30 + -10x) = 10(2x + -3) Reorder the terms: -24 + 30 + 18x + -10x = 10(2x + -3) Combine like terms: -24 + 30 = 6 6 + 18x + -10x = 10(2x + -3) Combine like terms: 18x + -10x = 8x 6 + 8x = 10(2x + -3) Reorder the terms: 6 + 8x = 10(-3 + 2x) 6 + 8x = (-3 * 10 + 2x * 10) 6 + 8x = (-30 + 20x) Solving 6 + 8x = -30 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 6 + 8x + -20x = -30 + 20x + -20x Combine like terms: 8x + -20x = -12x 6 + -12x = -30 + 20x + -20x Combine like terms: 20x + -20x = 0 6 + -12x = -30 + 0 6 + -12x = -30 Add '-6' to each side of the equation. 6 + -6 + -12x = -30 + -6 Combine like terms: 6 + -6 = 0 0 + -12x = -30 + -6 -12x = -30 + -6 Combine like terms: -30 + -6 = -36 -12x = -36 Divide each side by '-12'. x = 3 Simplifying x = 3
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