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Simplifying 6[4(2x + -3) + -3(4x + -6)] = 2x + -16 Reorder the terms: 6[4(-3 + 2x) + -3(4x + -6)] = 2x + -16 6[(-3 * 4 + 2x * 4) + -3(4x + -6)] = 2x + -16 6[(-12 + 8x) + -3(4x + -6)] = 2x + -16 Reorder the terms: 6[-12 + 8x + -3(-6 + 4x)] = 2x + -16 6[-12 + 8x + (-6 * -3 + 4x * -3)] = 2x + -16 6[-12 + 8x + (18 + -12x)] = 2x + -16 Reorder the terms: 6[-12 + 18 + 8x + -12x] = 2x + -16 Combine like terms: -12 + 18 = 6 6[6 + 8x + -12x] = 2x + -16 Combine like terms: 8x + -12x = -4x 6[6 + -4x] = 2x + -16 [6 * 6 + -4x * 6] = 2x + -16 [36 + -24x] = 2x + -16 Reorder the terms: 36 + -24x = -16 + 2x Solving 36 + -24x = -16 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 36 + -24x + -2x = -16 + 2x + -2x Combine like terms: -24x + -2x = -26x 36 + -26x = -16 + 2x + -2x Combine like terms: 2x + -2x = 0 36 + -26x = -16 + 0 36 + -26x = -16 Add '-36' to each side of the equation. 36 + -36 + -26x = -16 + -36 Combine like terms: 36 + -36 = 0 0 + -26x = -16 + -36 -26x = -16 + -36 Combine like terms: -16 + -36 = -52 -26x = -52 Divide each side by '-26'. x = 2 Simplifying x = 2
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