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Simplifying 5x + -3(2x + -7) = 4(3x + -8) + -8x Reorder the terms: 5x + -3(-7 + 2x) = 4(3x + -8) + -8x 5x + (-7 * -3 + 2x * -3) = 4(3x + -8) + -8x 5x + (21 + -6x) = 4(3x + -8) + -8x Reorder the terms: 21 + 5x + -6x = 4(3x + -8) + -8x Combine like terms: 5x + -6x = -1x 21 + -1x = 4(3x + -8) + -8x Reorder the terms: 21 + -1x = 4(-8 + 3x) + -8x 21 + -1x = (-8 * 4 + 3x * 4) + -8x 21 + -1x = (-32 + 12x) + -8x Combine like terms: 12x + -8x = 4x 21 + -1x = -32 + 4x Solving 21 + -1x = -32 + 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. 21 + -1x + -4x = -32 + 4x + -4x Combine like terms: -1x + -4x = -5x 21 + -5x = -32 + 4x + -4x Combine like terms: 4x + -4x = 0 21 + -5x = -32 + 0 21 + -5x = -32 Add '-21' to each side of the equation. 21 + -21 + -5x = -32 + -21 Combine like terms: 21 + -21 = 0 0 + -5x = -32 + -21 -5x = -32 + -21 Combine like terms: -32 + -21 = -53 -5x = -53 Divide each side by '-5'. x = 10.6 Simplifying x = 10.6
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