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Simplifying 8(6x + 7) + -2 = (x + -4) Reorder the terms: 8(7 + 6x) + -2 = (x + -4) (7 * 8 + 6x * 8) + -2 = (x + -4) (56 + 48x) + -2 = (x + -4) Reorder the terms: 56 + -2 + 48x = (x + -4) Combine like terms: 56 + -2 = 54 54 + 48x = (x + -4) Reorder the terms: 54 + 48x = (-4 + x) Remove parenthesis around (-4 + x) 54 + 48x = -4 + x Solving 54 + 48x = -4 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 54 + 48x + -1x = -4 + x + -1x Combine like terms: 48x + -1x = 47x 54 + 47x = -4 + x + -1x Combine like terms: x + -1x = 0 54 + 47x = -4 + 0 54 + 47x = -4 Add '-54' to each side of the equation. 54 + -54 + 47x = -4 + -54 Combine like terms: 54 + -54 = 0 0 + 47x = -4 + -54 47x = -4 + -54 Combine like terms: -4 + -54 = -58 47x = -58 Divide each side by '47'. x = -1.234042553 Simplifying x = -1.234042553
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