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Simplifying 3x + -4(x + 4) = 8(5 + -6x) + -9 Reorder the terms: 3x + -4(4 + x) = 8(5 + -6x) + -9 3x + (4 * -4 + x * -4) = 8(5 + -6x) + -9 3x + (-16 + -4x) = 8(5 + -6x) + -9 Reorder the terms: -16 + 3x + -4x = 8(5 + -6x) + -9 Combine like terms: 3x + -4x = -1x -16 + -1x = 8(5 + -6x) + -9 -16 + -1x = (5 * 8 + -6x * 8) + -9 -16 + -1x = (40 + -48x) + -9 Reorder the terms: -16 + -1x = 40 + -9 + -48x Combine like terms: 40 + -9 = 31 -16 + -1x = 31 + -48x Solving -16 + -1x = 31 + -48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '48x' to each side of the equation. -16 + -1x + 48x = 31 + -48x + 48x Combine like terms: -1x + 48x = 47x -16 + 47x = 31 + -48x + 48x Combine like terms: -48x + 48x = 0 -16 + 47x = 31 + 0 -16 + 47x = 31 Add '16' to each side of the equation. -16 + 16 + 47x = 31 + 16 Combine like terms: -16 + 16 = 0 0 + 47x = 31 + 16 47x = 31 + 16 Combine like terms: 31 + 16 = 47 47x = 47 Divide each side by '47'. x = 1 Simplifying x = 1
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