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Simplifying -8(14x + 2) = 19(5 + -5x) + -35x + (14x + -21) * 3 Reorder the terms: -8(2 + 14x) = 19(5 + -5x) + -35x + (14x + -21) * 3 (2 * -8 + 14x * -8) = 19(5 + -5x) + -35x + (14x + -21) * 3 (-16 + -112x) = 19(5 + -5x) + -35x + (14x + -21) * 3 -16 + -112x = (5 * 19 + -5x * 19) + -35x + (14x + -21) * 3 -16 + -112x = (95 + -95x) + -35x + (14x + -21) * 3 Reorder the terms: -16 + -112x = 95 + -95x + -35x + (-21 + 14x) * 3 Reorder the terms for easier multiplication: -16 + -112x = 95 + -95x + -35x + 3(-21 + 14x) -16 + -112x = 95 + -95x + -35x + (-21 * 3 + 14x * 3) -16 + -112x = 95 + -95x + -35x + (-63 + 42x) Reorder the terms: -16 + -112x = 95 + -63 + -95x + -35x + 42x Combine like terms: 95 + -63 = 32 -16 + -112x = 32 + -95x + -35x + 42x Combine like terms: -95x + -35x = -130x -16 + -112x = 32 + -130x + 42x Combine like terms: -130x + 42x = -88x -16 + -112x = 32 + -88x Solving -16 + -112x = 32 + -88x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '88x' to each side of the equation. -16 + -112x + 88x = 32 + -88x + 88x Combine like terms: -112x + 88x = -24x -16 + -24x = 32 + -88x + 88x Combine like terms: -88x + 88x = 0 -16 + -24x = 32 + 0 -16 + -24x = 32 Add '16' to each side of the equation. -16 + 16 + -24x = 32 + 16 Combine like terms: -16 + 16 = 0 0 + -24x = 32 + 16 -24x = 32 + 16 Combine like terms: 32 + 16 = 48 -24x = 48 Divide each side by '-24'. x = -2 Simplifying x = -2
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