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Simplifying 8(3x + -2) + -1(7x + -3) * 5 = 3(2x + 11) Reorder the terms: 8(-2 + 3x) + -1(7x + -3) * 5 = 3(2x + 11) (-2 * 8 + 3x * 8) + -1(7x + -3) * 5 = 3(2x + 11) (-16 + 24x) + -1(7x + -3) * 5 = 3(2x + 11) Reorder the terms: -16 + 24x + -1(-3 + 7x) * 5 = 3(2x + 11) Reorder the terms for easier multiplication: -16 + 24x + -1 * 5(-3 + 7x) = 3(2x + 11) Multiply -1 * 5 -16 + 24x + -5(-3 + 7x) = 3(2x + 11) -16 + 24x + (-3 * -5 + 7x * -5) = 3(2x + 11) -16 + 24x + (15 + -35x) = 3(2x + 11) Reorder the terms: -16 + 15 + 24x + -35x = 3(2x + 11) Combine like terms: -16 + 15 = -1 -1 + 24x + -35x = 3(2x + 11) Combine like terms: 24x + -35x = -11x -1 + -11x = 3(2x + 11) Reorder the terms: -1 + -11x = 3(11 + 2x) -1 + -11x = (11 * 3 + 2x * 3) -1 + -11x = (33 + 6x) Solving -1 + -11x = 33 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -1 + -11x + -6x = 33 + 6x + -6x Combine like terms: -11x + -6x = -17x -1 + -17x = 33 + 6x + -6x Combine like terms: 6x + -6x = 0 -1 + -17x = 33 + 0 -1 + -17x = 33 Add '1' to each side of the equation. -1 + 1 + -17x = 33 + 1 Combine like terms: -1 + 1 = 0 0 + -17x = 33 + 1 -17x = 33 + 1 Combine like terms: 33 + 1 = 34 -17x = 34 Divide each side by '-17'. x = -2 Simplifying x = -2
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