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Simplifying 3(5x + -4) + -4(2x + -16) = 16x + 12 Reorder the terms: 3(-4 + 5x) + -4(2x + -16) = 16x + 12 (-4 * 3 + 5x * 3) + -4(2x + -16) = 16x + 12 (-12 + 15x) + -4(2x + -16) = 16x + 12 Reorder the terms: -12 + 15x + -4(-16 + 2x) = 16x + 12 -12 + 15x + (-16 * -4 + 2x * -4) = 16x + 12 -12 + 15x + (64 + -8x) = 16x + 12 Reorder the terms: -12 + 64 + 15x + -8x = 16x + 12 Combine like terms: -12 + 64 = 52 52 + 15x + -8x = 16x + 12 Combine like terms: 15x + -8x = 7x 52 + 7x = 16x + 12 Reorder the terms: 52 + 7x = 12 + 16x Solving 52 + 7x = 12 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 52 + 7x + -16x = 12 + 16x + -16x Combine like terms: 7x + -16x = -9x 52 + -9x = 12 + 16x + -16x Combine like terms: 16x + -16x = 0 52 + -9x = 12 + 0 52 + -9x = 12 Add '-52' to each side of the equation. 52 + -52 + -9x = 12 + -52 Combine like terms: 52 + -52 = 0 0 + -9x = 12 + -52 -9x = 12 + -52 Combine like terms: 12 + -52 = -40 -9x = -40 Divide each side by '-9'. x = 4.444444444 Simplifying x = 4.444444444
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