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Simplifying 7(4x + -3) + 8x = 16 + -4(3x + 6) Reorder the terms: 7(-3 + 4x) + 8x = 16 + -4(3x + 6) (-3 * 7 + 4x * 7) + 8x = 16 + -4(3x + 6) (-21 + 28x) + 8x = 16 + -4(3x + 6) Combine like terms: 28x + 8x = 36x -21 + 36x = 16 + -4(3x + 6) Reorder the terms: -21 + 36x = 16 + -4(6 + 3x) -21 + 36x = 16 + (6 * -4 + 3x * -4) -21 + 36x = 16 + (-24 + -12x) Combine like terms: 16 + -24 = -8 -21 + 36x = -8 + -12x Solving -21 + 36x = -8 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -21 + 36x + 12x = -8 + -12x + 12x Combine like terms: 36x + 12x = 48x -21 + 48x = -8 + -12x + 12x Combine like terms: -12x + 12x = 0 -21 + 48x = -8 + 0 -21 + 48x = -8 Add '21' to each side of the equation. -21 + 21 + 48x = -8 + 21 Combine like terms: -21 + 21 = 0 0 + 48x = -8 + 21 48x = -8 + 21 Combine like terms: -8 + 21 = 13 48x = 13 Divide each side by '48'. x = 0.2708333333 Simplifying x = 0.2708333333
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