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Simplifying -7(x + 3) + -8(x + 8x) = 4x(-2) + 3 Reorder the terms: -7(3 + x) + -8(x + 8x) = 4x(-2) + 3 (3 * -7 + x * -7) + -8(x + 8x) = 4x(-2) + 3 (-21 + -7x) + -8(x + 8x) = 4x(-2) + 3 Combine like terms: x + 8x = 9x -21 + -7x + -8(9x) = 4x(-2) + 3 Remove parenthesis around (9x) -21 + -7x + -8 * 9x = 4x(-2) + 3 Multiply -8 * 9 -21 + -7x + -72x = 4x(-2) + 3 Combine like terms: -7x + -72x = -79x -21 + -79x = 4x(-2) + 3 Reorder the terms for easier multiplication: -21 + -79x = 4 * -2x + 3 Multiply 4 * -2 -21 + -79x = -8x + 3 Reorder the terms: -21 + -79x = 3 + -8x Solving -21 + -79x = 3 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -21 + -79x + 8x = 3 + -8x + 8x Combine like terms: -79x + 8x = -71x -21 + -71x = 3 + -8x + 8x Combine like terms: -8x + 8x = 0 -21 + -71x = 3 + 0 -21 + -71x = 3 Add '21' to each side of the equation. -21 + 21 + -71x = 3 + 21 Combine like terms: -21 + 21 = 0 0 + -71x = 3 + 21 -71x = 3 + 21 Combine like terms: 3 + 21 = 24 -71x = 24 Divide each side by '-71'. x = -0.338028169 Simplifying x = -0.338028169
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