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Simplifying 4(2x + -1) + 10 = 6(x + -4) Reorder the terms: 4(-1 + 2x) + 10 = 6(x + -4) (-1 * 4 + 2x * 4) + 10 = 6(x + -4) (-4 + 8x) + 10 = 6(x + -4) Reorder the terms: -4 + 10 + 8x = 6(x + -4) Combine like terms: -4 + 10 = 6 6 + 8x = 6(x + -4) Reorder the terms: 6 + 8x = 6(-4 + x) 6 + 8x = (-4 * 6 + x * 6) 6 + 8x = (-24 + 6x) Solving 6 + 8x = -24 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 6 + 8x + -6x = -24 + 6x + -6x Combine like terms: 8x + -6x = 2x 6 + 2x = -24 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + 2x = -24 + 0 6 + 2x = -24 Add '-6' to each side of the equation. 6 + -6 + 2x = -24 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = -24 + -6 2x = -24 + -6 Combine like terms: -24 + -6 = -30 2x = -30 Divide each side by '2'. x = -15 Simplifying x = -15
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