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Simplifying 5(3x + -5) + -3(6x + -3) = 5x + -4 Reorder the terms: 5(-5 + 3x) + -3(6x + -3) = 5x + -4 (-5 * 5 + 3x * 5) + -3(6x + -3) = 5x + -4 (-25 + 15x) + -3(6x + -3) = 5x + -4 Reorder the terms: -25 + 15x + -3(-3 + 6x) = 5x + -4 -25 + 15x + (-3 * -3 + 6x * -3) = 5x + -4 -25 + 15x + (9 + -18x) = 5x + -4 Reorder the terms: -25 + 9 + 15x + -18x = 5x + -4 Combine like terms: -25 + 9 = -16 -16 + 15x + -18x = 5x + -4 Combine like terms: 15x + -18x = -3x -16 + -3x = 5x + -4 Reorder the terms: -16 + -3x = -4 + 5x Solving -16 + -3x = -4 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -16 + -3x + -5x = -4 + 5x + -5x Combine like terms: -3x + -5x = -8x -16 + -8x = -4 + 5x + -5x Combine like terms: 5x + -5x = 0 -16 + -8x = -4 + 0 -16 + -8x = -4 Add '16' to each side of the equation. -16 + 16 + -8x = -4 + 16 Combine like terms: -16 + 16 = 0 0 + -8x = -4 + 16 -8x = -4 + 16 Combine like terms: -4 + 16 = 12 -8x = 12 Divide each side by '-8'. x = -1.5 Simplifying x = -1.5
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