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Simplifying 3(x + -4) + 6 = 56(x + -1) + 1 Reorder the terms: 3(-4 + x) + 6 = 56(x + -1) + 1 (-4 * 3 + x * 3) + 6 = 56(x + -1) + 1 (-12 + 3x) + 6 = 56(x + -1) + 1 Reorder the terms: -12 + 6 + 3x = 56(x + -1) + 1 Combine like terms: -12 + 6 = -6 -6 + 3x = 56(x + -1) + 1 Reorder the terms: -6 + 3x = 56(-1 + x) + 1 -6 + 3x = (-1 * 56 + x * 56) + 1 -6 + 3x = (-56 + 56x) + 1 Reorder the terms: -6 + 3x = -56 + 1 + 56x Combine like terms: -56 + 1 = -55 -6 + 3x = -55 + 56x Solving -6 + 3x = -55 + 56x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-56x' to each side of the equation. -6 + 3x + -56x = -55 + 56x + -56x Combine like terms: 3x + -56x = -53x -6 + -53x = -55 + 56x + -56x Combine like terms: 56x + -56x = 0 -6 + -53x = -55 + 0 -6 + -53x = -55 Add '6' to each side of the equation. -6 + 6 + -53x = -55 + 6 Combine like terms: -6 + 6 = 0 0 + -53x = -55 + 6 -53x = -55 + 6 Combine like terms: -55 + 6 = -49 -53x = -49 Divide each side by '-53'. x = 0.9245283019 Simplifying x = 0.9245283019
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