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Simplifying 15 + -45 = 4(x + -1) + -6 Combine like terms: 15 + -45 = -30 -30 = 4(x + -1) + -6 Reorder the terms: -30 = 4(-1 + x) + -6 -30 = (-1 * 4 + x * 4) + -6 -30 = (-4 + 4x) + -6 Reorder the terms: -30 = -4 + -6 + 4x Combine like terms: -4 + -6 = -10 -30 = -10 + 4x Solving -30 = -10 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -30 + -4x = -10 + 4x + -4x Combine like terms: 4x + -4x = 0 -30 + -4x = -10 + 0 -30 + -4x = -10 Add '30' to each side of the equation. -30 + 30 + -4x = -10 + 30 Combine like terms: -30 + 30 = 0 0 + -4x = -10 + 30 -4x = -10 + 30 Combine like terms: -10 + 30 = 20 -4x = 20 Divide each side by '-4'. x = -5 Simplifying x = -5
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