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Simplifying 5(3x + -8) + -7 = -2(4x + 5) + 10 Reorder the terms: 5(-8 + 3x) + -7 = -2(4x + 5) + 10 (-8 * 5 + 3x * 5) + -7 = -2(4x + 5) + 10 (-40 + 15x) + -7 = -2(4x + 5) + 10 Reorder the terms: -40 + -7 + 15x = -2(4x + 5) + 10 Combine like terms: -40 + -7 = -47 -47 + 15x = -2(4x + 5) + 10 Reorder the terms: -47 + 15x = -2(5 + 4x) + 10 -47 + 15x = (5 * -2 + 4x * -2) + 10 -47 + 15x = (-10 + -8x) + 10 Reorder the terms: -47 + 15x = -10 + 10 + -8x Combine like terms: -10 + 10 = 0 -47 + 15x = 0 + -8x -47 + 15x = -8x Solving -47 + 15x = -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. -47 + 15x + 8x = -8x + 8x Combine like terms: 15x + 8x = 23x -47 + 23x = -8x + 8x Combine like terms: -8x + 8x = 0 -47 + 23x = 0 Add '47' to each side of the equation. -47 + 47 + 23x = 0 + 47 Combine like terms: -47 + 47 = 0 0 + 23x = 0 + 47 23x = 0 + 47 Combine like terms: 0 + 47 = 47 23x = 47 Divide each side by '23'. x = 2.043478261 Simplifying x = 2.043478261
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