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Simplifying 2(x + -8) + -3(3x + 4) = x + -28 Reorder the terms: 2(-8 + x) + -3(3x + 4) = x + -28 (-8 * 2 + x * 2) + -3(3x + 4) = x + -28 (-16 + 2x) + -3(3x + 4) = x + -28 Reorder the terms: -16 + 2x + -3(4 + 3x) = x + -28 -16 + 2x + (4 * -3 + 3x * -3) = x + -28 -16 + 2x + (-12 + -9x) = x + -28 Reorder the terms: -16 + -12 + 2x + -9x = x + -28 Combine like terms: -16 + -12 = -28 -28 + 2x + -9x = x + -28 Combine like terms: 2x + -9x = -7x -28 + -7x = x + -28 Reorder the terms: -28 + -7x = -28 + x Add '28' to each side of the equation. -28 + 28 + -7x = -28 + 28 + x Combine like terms: -28 + 28 = 0 0 + -7x = -28 + 28 + x -7x = -28 + 28 + x Combine like terms: -28 + 28 = 0 -7x = 0 + x -7x = x Solving -7x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -7x + -1x = x + -1x Combine like terms: -7x + -1x = -8x -8x = x + -1x Combine like terms: x + -1x = 0 -8x = 0 Divide each side by '-8'. x = 0 Simplifying x = 0
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