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Simplifying 1 + -46 = 3(x + -4) + -6 Combine like terms: 1 + -46 = -45 -45 = 3(x + -4) + -6 Reorder the terms: -45 = 3(-4 + x) + -6 -45 = (-4 * 3 + x * 3) + -6 -45 = (-12 + 3x) + -6 Reorder the terms: -45 = -12 + -6 + 3x Combine like terms: -12 + -6 = -18 -45 = -18 + 3x Solving -45 = -18 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -45 + -3x = -18 + 3x + -3x Combine like terms: 3x + -3x = 0 -45 + -3x = -18 + 0 -45 + -3x = -18 Add '45' to each side of the equation. -45 + 45 + -3x = -18 + 45 Combine like terms: -45 + 45 = 0 0 + -3x = -18 + 45 -3x = -18 + 45 Combine like terms: -18 + 45 = 27 -3x = 27 Divide each side by '-3'. x = -9 Simplifying x = -9
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