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Simplifying 5(x + 7) + -4(x + 9) = 2(2x + -6.5) Reorder the terms: 5(7 + x) + -4(x + 9) = 2(2x + -6.5) (7 * 5 + x * 5) + -4(x + 9) = 2(2x + -6.5) (35 + 5x) + -4(x + 9) = 2(2x + -6.5) Reorder the terms: 35 + 5x + -4(9 + x) = 2(2x + -6.5) 35 + 5x + (9 * -4 + x * -4) = 2(2x + -6.5) 35 + 5x + (-36 + -4x) = 2(2x + -6.5) Reorder the terms: 35 + -36 + 5x + -4x = 2(2x + -6.5) Combine like terms: 35 + -36 = -1 -1 + 5x + -4x = 2(2x + -6.5) Combine like terms: 5x + -4x = 1x -1 + 1x = 2(2x + -6.5) Reorder the terms: -1 + 1x = 2(-6.5 + 2x) -1 + 1x = (-6.5 * 2 + 2x * 2) -1 + 1x = (-13 + 4x) Solving -1 + 1x = -13 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -1 + 1x + -4x = -13 + 4x + -4x Combine like terms: 1x + -4x = -3x -1 + -3x = -13 + 4x + -4x Combine like terms: 4x + -4x = 0 -1 + -3x = -13 + 0 -1 + -3x = -13 Add '1' to each side of the equation. -1 + 1 + -3x = -13 + 1 Combine like terms: -1 + 1 = 0 0 + -3x = -13 + 1 -3x = -13 + 1 Combine like terms: -13 + 1 = -12 -3x = -12 Divide each side by '-3'. x = 4 Simplifying x = 4
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