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Simplifying 2(3(x + -4) + -7) + 1 = 8x + -11 Reorder the terms: 2(3(-4 + x) + -7) + 1 = 8x + -11 2((-4 * 3 + x * 3) + -7) + 1 = 8x + -11 2((-12 + 3x) + -7) + 1 = 8x + -11 Reorder the terms: 2(-12 + -7 + 3x) + 1 = 8x + -11 Combine like terms: -12 + -7 = -19 2(-19 + 3x) + 1 = 8x + -11 (-19 * 2 + 3x * 2) + 1 = 8x + -11 (-38 + 6x) + 1 = 8x + -11 Reorder the terms: -38 + 1 + 6x = 8x + -11 Combine like terms: -38 + 1 = -37 -37 + 6x = 8x + -11 Reorder the terms: -37 + 6x = -11 + 8x Solving -37 + 6x = -11 + 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. -37 + 6x + -8x = -11 + 8x + -8x Combine like terms: 6x + -8x = -2x -37 + -2x = -11 + 8x + -8x Combine like terms: 8x + -8x = 0 -37 + -2x = -11 + 0 -37 + -2x = -11 Add '37' to each side of the equation. -37 + 37 + -2x = -11 + 37 Combine like terms: -37 + 37 = 0 0 + -2x = -11 + 37 -2x = -11 + 37 Combine like terms: -11 + 37 = 26 -2x = 26 Divide each side by '-2'. x = -13 Simplifying x = -13
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