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Simplifying -1(4x + 3) = 6(x + -8) + 3 Reorder the terms: -1(3 + 4x) = 6(x + -8) + 3 (3 * -1 + 4x * -1) = 6(x + -8) + 3 (-3 + -4x) = 6(x + -8) + 3 Reorder the terms: -3 + -4x = 6(-8 + x) + 3 -3 + -4x = (-8 * 6 + x * 6) + 3 -3 + -4x = (-48 + 6x) + 3 Reorder the terms: -3 + -4x = -48 + 3 + 6x Combine like terms: -48 + 3 = -45 -3 + -4x = -45 + 6x Solving -3 + -4x = -45 + 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. -3 + -4x + -6x = -45 + 6x + -6x Combine like terms: -4x + -6x = -10x -3 + -10x = -45 + 6x + -6x Combine like terms: 6x + -6x = 0 -3 + -10x = -45 + 0 -3 + -10x = -45 Add '3' to each side of the equation. -3 + 3 + -10x = -45 + 3 Combine like terms: -3 + 3 = 0 0 + -10x = -45 + 3 -10x = -45 + 3 Combine like terms: -45 + 3 = -42 -10x = -42 Divide each side by '-10'. x = 4.2 Simplifying x = 4.2
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