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Simplifying 4(2X + 1) + -10 = 6(3X + 4) Reorder the terms: 4(1 + 2X) + -10 = 6(3X + 4) (1 * 4 + 2X * 4) + -10 = 6(3X + 4) (4 + 8X) + -10 = 6(3X + 4) Reorder the terms: 4 + -10 + 8X = 6(3X + 4) Combine like terms: 4 + -10 = -6 -6 + 8X = 6(3X + 4) Reorder the terms: -6 + 8X = 6(4 + 3X) -6 + 8X = (4 * 6 + 3X * 6) -6 + 8X = (24 + 18X) Solving -6 + 8X = 24 + 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. -6 + 8X + -18X = 24 + 18X + -18X Combine like terms: 8X + -18X = -10X -6 + -10X = 24 + 18X + -18X Combine like terms: 18X + -18X = 0 -6 + -10X = 24 + 0 -6 + -10X = 24 Add '6' to each side of the equation. -6 + 6 + -10X = 24 + 6 Combine like terms: -6 + 6 = 0 0 + -10X = 24 + 6 -10X = 24 + 6 Combine like terms: 24 + 6 = 30 -10X = 30 Divide each side by '-10'. X = -3 Simplifying X = -3
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