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Simplifying -5(8x + 7) + -2 = 48 + -3(6x + 9) Reorder the terms: -5(7 + 8x) + -2 = 48 + -3(6x + 9) (7 * -5 + 8x * -5) + -2 = 48 + -3(6x + 9) (-35 + -40x) + -2 = 48 + -3(6x + 9) Reorder the terms: -35 + -2 + -40x = 48 + -3(6x + 9) Combine like terms: -35 + -2 = -37 -37 + -40x = 48 + -3(6x + 9) Reorder the terms: -37 + -40x = 48 + -3(9 + 6x) -37 + -40x = 48 + (9 * -3 + 6x * -3) -37 + -40x = 48 + (-27 + -18x) Combine like terms: 48 + -27 = 21 -37 + -40x = 21 + -18x Solving -37 + -40x = 21 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. -37 + -40x + 18x = 21 + -18x + 18x Combine like terms: -40x + 18x = -22x -37 + -22x = 21 + -18x + 18x Combine like terms: -18x + 18x = 0 -37 + -22x = 21 + 0 -37 + -22x = 21 Add '37' to each side of the equation. -37 + 37 + -22x = 21 + 37 Combine like terms: -37 + 37 = 0 0 + -22x = 21 + 37 -22x = 21 + 37 Combine like terms: 21 + 37 = 58 -22x = 58 Divide each side by '-22'. x = -2.636363636 Simplifying x = -2.636363636
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