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Simplifying 6(x + -4) + 4(6x + -3) = 2(3x + -2) + 16 Reorder the terms: 6(-4 + x) + 4(6x + -3) = 2(3x + -2) + 16 (-4 * 6 + x * 6) + 4(6x + -3) = 2(3x + -2) + 16 (-24 + 6x) + 4(6x + -3) = 2(3x + -2) + 16 Reorder the terms: -24 + 6x + 4(-3 + 6x) = 2(3x + -2) + 16 -24 + 6x + (-3 * 4 + 6x * 4) = 2(3x + -2) + 16 -24 + 6x + (-12 + 24x) = 2(3x + -2) + 16 Reorder the terms: -24 + -12 + 6x + 24x = 2(3x + -2) + 16 Combine like terms: -24 + -12 = -36 -36 + 6x + 24x = 2(3x + -2) + 16 Combine like terms: 6x + 24x = 30x -36 + 30x = 2(3x + -2) + 16 Reorder the terms: -36 + 30x = 2(-2 + 3x) + 16 -36 + 30x = (-2 * 2 + 3x * 2) + 16 -36 + 30x = (-4 + 6x) + 16 Reorder the terms: -36 + 30x = -4 + 16 + 6x Combine like terms: -4 + 16 = 12 -36 + 30x = 12 + 6x Solving -36 + 30x = 12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -36 + 30x + -6x = 12 + 6x + -6x Combine like terms: 30x + -6x = 24x -36 + 24x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 -36 + 24x = 12 + 0 -36 + 24x = 12 Add '36' to each side of the equation. -36 + 36 + 24x = 12 + 36 Combine like terms: -36 + 36 = 0 0 + 24x = 12 + 36 24x = 12 + 36 Combine like terms: 12 + 36 = 48 24x = 48 Divide each side by '24'. x = 2 Simplifying x = 2
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