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Simplifying 4(5x + -2) + x + -4 = 6(3x + -10) Reorder the terms: 4(-2 + 5x) + x + -4 = 6(3x + -10) (-2 * 4 + 5x * 4) + x + -4 = 6(3x + -10) (-8 + 20x) + x + -4 = 6(3x + -10) Reorder the terms: -8 + -4 + 20x + x = 6(3x + -10) Combine like terms: -8 + -4 = -12 -12 + 20x + x = 6(3x + -10) Combine like terms: 20x + x = 21x -12 + 21x = 6(3x + -10) Reorder the terms: -12 + 21x = 6(-10 + 3x) -12 + 21x = (-10 * 6 + 3x * 6) -12 + 21x = (-60 + 18x) Solving -12 + 21x = -60 + 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. -12 + 21x + -18x = -60 + 18x + -18x Combine like terms: 21x + -18x = 3x -12 + 3x = -60 + 18x + -18x Combine like terms: 18x + -18x = 0 -12 + 3x = -60 + 0 -12 + 3x = -60 Add '12' to each side of the equation. -12 + 12 + 3x = -60 + 12 Combine like terms: -12 + 12 = 0 0 + 3x = -60 + 12 3x = -60 + 12 Combine like terms: -60 + 12 = -48 3x = -48 Divide each side by '3'. x = -16 Simplifying x = -16
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