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Simplifying 4(2x + -6) + -3x = 4(x + -4) + 26 Reorder the terms: 4(-6 + 2x) + -3x = 4(x + -4) + 26 (-6 * 4 + 2x * 4) + -3x = 4(x + -4) + 26 (-24 + 8x) + -3x = 4(x + -4) + 26 Combine like terms: 8x + -3x = 5x -24 + 5x = 4(x + -4) + 26 Reorder the terms: -24 + 5x = 4(-4 + x) + 26 -24 + 5x = (-4 * 4 + x * 4) + 26 -24 + 5x = (-16 + 4x) + 26 Reorder the terms: -24 + 5x = -16 + 26 + 4x Combine like terms: -16 + 26 = 10 -24 + 5x = 10 + 4x Solving -24 + 5x = 10 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -24 + 5x + -4x = 10 + 4x + -4x Combine like terms: 5x + -4x = 1x -24 + 1x = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 -24 + 1x = 10 + 0 -24 + 1x = 10 Add '24' to each side of the equation. -24 + 24 + 1x = 10 + 24 Combine like terms: -24 + 24 = 0 0 + 1x = 10 + 24 1x = 10 + 24 Combine like terms: 10 + 24 = 34 1x = 34 Divide each side by '1'. x = 34 Simplifying x = 34
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