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Simplifying 8(x + 1) + -3(x + 4) = 7(2x) Reorder the terms: 8(1 + x) + -3(x + 4) = 7(2x) (1 * 8 + x * 8) + -3(x + 4) = 7(2x) (8 + 8x) + -3(x + 4) = 7(2x) Reorder the terms: 8 + 8x + -3(4 + x) = 7(2x) 8 + 8x + (4 * -3 + x * -3) = 7(2x) 8 + 8x + (-12 + -3x) = 7(2x) Reorder the terms: 8 + -12 + 8x + -3x = 7(2x) Combine like terms: 8 + -12 = -4 -4 + 8x + -3x = 7(2x) Combine like terms: 8x + -3x = 5x -4 + 5x = 7(2x) Remove parenthesis around (2x) -4 + 5x = 7 * 2x Multiply 7 * 2 -4 + 5x = 14x Solving -4 + 5x = 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -4 + 5x + -14x = 14x + -14x Combine like terms: 5x + -14x = -9x -4 + -9x = 14x + -14x Combine like terms: 14x + -14x = 0 -4 + -9x = 0 Add '4' to each side of the equation. -4 + 4 + -9x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -9x = 0 + 4 -9x = 0 + 4 Combine like terms: 0 + 4 = 4 -9x = 4 Divide each side by '-9'. x = -0.4444444444 Simplifying x = -0.4444444444
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