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Simplifying 4(7x + -3) + 4(-7 + -3x) = 14 + 17x Reorder the terms: 4(-3 + 7x) + 4(-7 + -3x) = 14 + 17x (-3 * 4 + 7x * 4) + 4(-7 + -3x) = 14 + 17x (-12 + 28x) + 4(-7 + -3x) = 14 + 17x -12 + 28x + (-7 * 4 + -3x * 4) = 14 + 17x -12 + 28x + (-28 + -12x) = 14 + 17x Reorder the terms: -12 + -28 + 28x + -12x = 14 + 17x Combine like terms: -12 + -28 = -40 -40 + 28x + -12x = 14 + 17x Combine like terms: 28x + -12x = 16x -40 + 16x = 14 + 17x Solving -40 + 16x = 14 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. -40 + 16x + -17x = 14 + 17x + -17x Combine like terms: 16x + -17x = -1x -40 + -1x = 14 + 17x + -17x Combine like terms: 17x + -17x = 0 -40 + -1x = 14 + 0 -40 + -1x = 14 Add '40' to each side of the equation. -40 + 40 + -1x = 14 + 40 Combine like terms: -40 + 40 = 0 0 + -1x = 14 + 40 -1x = 14 + 40 Combine like terms: 14 + 40 = 54 -1x = 54 Divide each side by '-1'. x = -54 Simplifying x = -54
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