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Simplifying 4(8x + 6) = -7(3x + -4) + 5x Reorder the terms: 4(6 + 8x) = -7(3x + -4) + 5x (6 * 4 + 8x * 4) = -7(3x + -4) + 5x (24 + 32x) = -7(3x + -4) + 5x Reorder the terms: 24 + 32x = -7(-4 + 3x) + 5x 24 + 32x = (-4 * -7 + 3x * -7) + 5x 24 + 32x = (28 + -21x) + 5x Combine like terms: -21x + 5x = -16x 24 + 32x = 28 + -16x Solving 24 + 32x = 28 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 24 + 32x + 16x = 28 + -16x + 16x Combine like terms: 32x + 16x = 48x 24 + 48x = 28 + -16x + 16x Combine like terms: -16x + 16x = 0 24 + 48x = 28 + 0 24 + 48x = 28 Add '-24' to each side of the equation. 24 + -24 + 48x = 28 + -24 Combine like terms: 24 + -24 = 0 0 + 48x = 28 + -24 48x = 28 + -24 Combine like terms: 28 + -24 = 4 48x = 4 Divide each side by '48'. x = 0.08333333333 Simplifying x = 0.08333333333
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