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Simplifying 3(x + 4) + -5(2x + 8) = 9x + -42 Reorder the terms: 3(4 + x) + -5(2x + 8) = 9x + -42 (4 * 3 + x * 3) + -5(2x + 8) = 9x + -42 (12 + 3x) + -5(2x + 8) = 9x + -42 Reorder the terms: 12 + 3x + -5(8 + 2x) = 9x + -42 12 + 3x + (8 * -5 + 2x * -5) = 9x + -42 12 + 3x + (-40 + -10x) = 9x + -42 Reorder the terms: 12 + -40 + 3x + -10x = 9x + -42 Combine like terms: 12 + -40 = -28 -28 + 3x + -10x = 9x + -42 Combine like terms: 3x + -10x = -7x -28 + -7x = 9x + -42 Reorder the terms: -28 + -7x = -42 + 9x Solving -28 + -7x = -42 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -28 + -7x + -9x = -42 + 9x + -9x Combine like terms: -7x + -9x = -16x -28 + -16x = -42 + 9x + -9x Combine like terms: 9x + -9x = 0 -28 + -16x = -42 + 0 -28 + -16x = -42 Add '28' to each side of the equation. -28 + 28 + -16x = -42 + 28 Combine like terms: -28 + 28 = 0 0 + -16x = -42 + 28 -16x = -42 + 28 Combine like terms: -42 + 28 = -14 -16x = -14 Divide each side by '-16'. x = 0.875 Simplifying x = 0.875
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