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Simplifying -8(3x + 5) = -2(-5x + 8) + 12 Reorder the terms: -8(5 + 3x) = -2(-5x + 8) + 12 (5 * -8 + 3x * -8) = -2(-5x + 8) + 12 (-40 + -24x) = -2(-5x + 8) + 12 Reorder the terms: -40 + -24x = -2(8 + -5x) + 12 -40 + -24x = (8 * -2 + -5x * -2) + 12 -40 + -24x = (-16 + 10x) + 12 Reorder the terms: -40 + -24x = -16 + 12 + 10x Combine like terms: -16 + 12 = -4 -40 + -24x = -4 + 10x Solving -40 + -24x = -4 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -40 + -24x + -10x = -4 + 10x + -10x Combine like terms: -24x + -10x = -34x -40 + -34x = -4 + 10x + -10x Combine like terms: 10x + -10x = 0 -40 + -34x = -4 + 0 -40 + -34x = -4 Add '40' to each side of the equation. -40 + 40 + -34x = -4 + 40 Combine like terms: -40 + 40 = 0 0 + -34x = -4 + 40 -34x = -4 + 40 Combine like terms: -4 + 40 = 36 -34x = 36 Divide each side by '-34'. x = -1.058823529 Simplifying x = -1.058823529
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