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Simplifying 5x + 3(-2x + -4) = 2x + -78 Reorder the terms: 5x + 3(-4 + -2x) = 2x + -78 5x + (-4 * 3 + -2x * 3) = 2x + -78 5x + (-12 + -6x) = 2x + -78 Reorder the terms: -12 + 5x + -6x = 2x + -78 Combine like terms: 5x + -6x = -1x -12 + -1x = 2x + -78 Reorder the terms: -12 + -1x = -78 + 2x Solving -12 + -1x = -78 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -12 + -1x + -2x = -78 + 2x + -2x Combine like terms: -1x + -2x = -3x -12 + -3x = -78 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + -3x = -78 + 0 -12 + -3x = -78 Add '12' to each side of the equation. -12 + 12 + -3x = -78 + 12 Combine like terms: -12 + 12 = 0 0 + -3x = -78 + 12 -3x = -78 + 12 Combine like terms: -78 + 12 = -66 -3x = -66 Divide each side by '-3'. x = 22 Simplifying x = 22
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