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Simplifying 5(6x + -7) + 51 = -4(x + -8) + 14x + -16 Reorder the terms: 5(-7 + 6x) + 51 = -4(x + -8) + 14x + -16 (-7 * 5 + 6x * 5) + 51 = -4(x + -8) + 14x + -16 (-35 + 30x) + 51 = -4(x + -8) + 14x + -16 Reorder the terms: -35 + 51 + 30x = -4(x + -8) + 14x + -16 Combine like terms: -35 + 51 = 16 16 + 30x = -4(x + -8) + 14x + -16 Reorder the terms: 16 + 30x = -4(-8 + x) + 14x + -16 16 + 30x = (-8 * -4 + x * -4) + 14x + -16 16 + 30x = (32 + -4x) + 14x + -16 Reorder the terms: 16 + 30x = 32 + -16 + -4x + 14x Combine like terms: 32 + -16 = 16 16 + 30x = 16 + -4x + 14x Combine like terms: -4x + 14x = 10x 16 + 30x = 16 + 10x Add '-16' to each side of the equation. 16 + -16 + 30x = 16 + -16 + 10x Combine like terms: 16 + -16 = 0 0 + 30x = 16 + -16 + 10x 30x = 16 + -16 + 10x Combine like terms: 16 + -16 = 0 30x = 0 + 10x 30x = 10x Solving 30x = 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 30x + -10x = 10x + -10x Combine like terms: 30x + -10x = 20x 20x = 10x + -10x Combine like terms: 10x + -10x = 0 20x = 0 Divide each side by '20'. x = 0 Simplifying x = 0
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