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Simplifying 8(6x + -6) + -7 = -7(3x + 8) Reorder the terms: 8(-6 + 6x) + -7 = -7(3x + 8) (-6 * 8 + 6x * 8) + -7 = -7(3x + 8) (-48 + 48x) + -7 = -7(3x + 8) Reorder the terms: -48 + -7 + 48x = -7(3x + 8) Combine like terms: -48 + -7 = -55 -55 + 48x = -7(3x + 8) Reorder the terms: -55 + 48x = -7(8 + 3x) -55 + 48x = (8 * -7 + 3x * -7) -55 + 48x = (-56 + -21x) Solving -55 + 48x = -56 + -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. -55 + 48x + 21x = -56 + -21x + 21x Combine like terms: 48x + 21x = 69x -55 + 69x = -56 + -21x + 21x Combine like terms: -21x + 21x = 0 -55 + 69x = -56 + 0 -55 + 69x = -56 Add '55' to each side of the equation. -55 + 55 + 69x = -56 + 55 Combine like terms: -55 + 55 = 0 0 + 69x = -56 + 55 69x = -56 + 55 Combine like terms: -56 + 55 = -1 69x = -1 Divide each side by '69'. x = -0.01449275362 Simplifying x = -0.01449275362
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