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Simplifying 15 + -46 = 4(x + -2) + -3 Combine like terms: 15 + -46 = -31 -31 = 4(x + -2) + -3 Reorder the terms: -31 = 4(-2 + x) + -3 -31 = (-2 * 4 + x * 4) + -3 -31 = (-8 + 4x) + -3 Reorder the terms: -31 = -8 + -3 + 4x Combine like terms: -8 + -3 = -11 -31 = -11 + 4x Solving -31 = -11 + 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. -31 + -4x = -11 + 4x + -4x Combine like terms: 4x + -4x = 0 -31 + -4x = -11 + 0 -31 + -4x = -11 Add '31' to each side of the equation. -31 + 31 + -4x = -11 + 31 Combine like terms: -31 + 31 = 0 0 + -4x = -11 + 31 -4x = -11 + 31 Combine like terms: -11 + 31 = 20 -4x = 20 Divide each side by '-4'. x = -5 Simplifying x = -5
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