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Simplifying 7(2x + -1) + -8(x + 5) + 11 = 9x + -18 Reorder the terms: 7(-1 + 2x) + -8(x + 5) + 11 = 9x + -18 (-1 * 7 + 2x * 7) + -8(x + 5) + 11 = 9x + -18 (-7 + 14x) + -8(x + 5) + 11 = 9x + -18 Reorder the terms: -7 + 14x + -8(5 + x) + 11 = 9x + -18 -7 + 14x + (5 * -8 + x * -8) + 11 = 9x + -18 -7 + 14x + (-40 + -8x) + 11 = 9x + -18 Reorder the terms: -7 + -40 + 11 + 14x + -8x = 9x + -18 Combine like terms: -7 + -40 = -47 -47 + 11 + 14x + -8x = 9x + -18 Combine like terms: -47 + 11 = -36 -36 + 14x + -8x = 9x + -18 Combine like terms: 14x + -8x = 6x -36 + 6x = 9x + -18 Reorder the terms: -36 + 6x = -18 + 9x Solving -36 + 6x = -18 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -36 + 6x + -9x = -18 + 9x + -9x Combine like terms: 6x + -9x = -3x -36 + -3x = -18 + 9x + -9x Combine like terms: 9x + -9x = 0 -36 + -3x = -18 + 0 -36 + -3x = -18 Add '36' to each side of the equation. -36 + 36 + -3x = -18 + 36 Combine like terms: -36 + 36 = 0 0 + -3x = -18 + 36 -3x = -18 + 36 Combine like terms: -18 + 36 = 18 -3x = 18 Divide each side by '-3'. x = -6 Simplifying x = -6
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