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Simplifying -4(x + -7) + 50x = -8(-6x + 5) + -3x Reorder the terms: -4(-7 + x) + 50x = -8(-6x + 5) + -3x (-7 * -4 + x * -4) + 50x = -8(-6x + 5) + -3x (28 + -4x) + 50x = -8(-6x + 5) + -3x Combine like terms: -4x + 50x = 46x 28 + 46x = -8(-6x + 5) + -3x Reorder the terms: 28 + 46x = -8(5 + -6x) + -3x 28 + 46x = (5 * -8 + -6x * -8) + -3x 28 + 46x = (-40 + 48x) + -3x Combine like terms: 48x + -3x = 45x 28 + 46x = -40 + 45x Solving 28 + 46x = -40 + 45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45x' to each side of the equation. 28 + 46x + -45x = -40 + 45x + -45x Combine like terms: 46x + -45x = 1x 28 + 1x = -40 + 45x + -45x Combine like terms: 45x + -45x = 0 28 + 1x = -40 + 0 28 + 1x = -40 Add '-28' to each side of the equation. 28 + -28 + 1x = -40 + -28 Combine like terms: 28 + -28 = 0 0 + 1x = -40 + -28 1x = -40 + -28 Combine like terms: -40 + -28 = -68 1x = -68 Divide each side by '1'. x = -68 Simplifying x = -68
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