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Simplifying 5(3x + -5) + -3(2x + -13) = 8x + 4 Reorder the terms: 5(-5 + 3x) + -3(2x + -13) = 8x + 4 (-5 * 5 + 3x * 5) + -3(2x + -13) = 8x + 4 (-25 + 15x) + -3(2x + -13) = 8x + 4 Reorder the terms: -25 + 15x + -3(-13 + 2x) = 8x + 4 -25 + 15x + (-13 * -3 + 2x * -3) = 8x + 4 -25 + 15x + (39 + -6x) = 8x + 4 Reorder the terms: -25 + 39 + 15x + -6x = 8x + 4 Combine like terms: -25 + 39 = 14 14 + 15x + -6x = 8x + 4 Combine like terms: 15x + -6x = 9x 14 + 9x = 8x + 4 Reorder the terms: 14 + 9x = 4 + 8x Solving 14 + 9x = 4 + 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. 14 + 9x + -8x = 4 + 8x + -8x Combine like terms: 9x + -8x = 1x 14 + 1x = 4 + 8x + -8x Combine like terms: 8x + -8x = 0 14 + 1x = 4 + 0 14 + 1x = 4 Add '-14' to each side of the equation. 14 + -14 + 1x = 4 + -14 Combine like terms: 14 + -14 = 0 0 + 1x = 4 + -14 1x = 4 + -14 Combine like terms: 4 + -14 = -10 1x = -10 Divide each side by '1'. x = -10 Simplifying x = -10
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