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Simplifying 4(10 + -1x) + 6 = -6(x + -3) + -3 (10 * 4 + -1x * 4) + 6 = -6(x + -3) + -3 (40 + -4x) + 6 = -6(x + -3) + -3 Reorder the terms: 40 + 6 + -4x = -6(x + -3) + -3 Combine like terms: 40 + 6 = 46 46 + -4x = -6(x + -3) + -3 Reorder the terms: 46 + -4x = -6(-3 + x) + -3 46 + -4x = (-3 * -6 + x * -6) + -3 46 + -4x = (18 + -6x) + -3 Reorder the terms: 46 + -4x = 18 + -3 + -6x Combine like terms: 18 + -3 = 15 46 + -4x = 15 + -6x Solving 46 + -4x = 15 + -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. 46 + -4x + 6x = 15 + -6x + 6x Combine like terms: -4x + 6x = 2x 46 + 2x = 15 + -6x + 6x Combine like terms: -6x + 6x = 0 46 + 2x = 15 + 0 46 + 2x = 15 Add '-46' to each side of the equation. 46 + -46 + 2x = 15 + -46 Combine like terms: 46 + -46 = 0 0 + 2x = 15 + -46 2x = 15 + -46 Combine like terms: 15 + -46 = -31 2x = -31 Divide each side by '2'. x = -15.5 Simplifying x = -15.5
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