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Simplifying 3(7x + -4) = 6(4x + -10) Reorder the terms: 3(-4 + 7x) = 6(4x + -10) (-4 * 3 + 7x * 3) = 6(4x + -10) (-12 + 21x) = 6(4x + -10) Reorder the terms: -12 + 21x = 6(-10 + 4x) -12 + 21x = (-10 * 6 + 4x * 6) -12 + 21x = (-60 + 24x) Solving -12 + 21x = -60 + 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. -12 + 21x + -24x = -60 + 24x + -24x Combine like terms: 21x + -24x = -3x -12 + -3x = -60 + 24x + -24x Combine like terms: 24x + -24x = 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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