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Simplifying -7(x + 3) + -2x = 8(x + -4) Reorder the terms: -7(3 + x) + -2x = 8(x + -4) (3 * -7 + x * -7) + -2x = 8(x + -4) (-21 + -7x) + -2x = 8(x + -4) Combine like terms: -7x + -2x = -9x -21 + -9x = 8(x + -4) Reorder the terms: -21 + -9x = 8(-4 + x) -21 + -9x = (-4 * 8 + x * 8) -21 + -9x = (-32 + 8x) Solving -21 + -9x = -32 + 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 + -9x + -8x = -32 + 8x + -8x Combine like terms: -9x + -8x = -17x -21 + -17x = -32 + 8x + -8x Combine like terms: 8x + -8x = 0 -21 + -17x = -32 + 0 -21 + -17x = -32 Add '21' to each side of the equation. -21 + 21 + -17x = -32 + 21 Combine like terms: -21 + 21 = 0 0 + -17x = -32 + 21 -17x = -32 + 21 Combine like terms: -32 + 21 = -11 -17x = -11 Divide each side by '-17'. x = 0.6470588235 Simplifying x = 0.6470588235
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