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Simplifying 11 + -46 = 4(x + -3) + -7 Combine like terms: 11 + -46 = -35 -35 = 4(x + -3) + -7 Reorder the terms: -35 = 4(-3 + x) + -7 -35 = (-3 * 4 + x * 4) + -7 -35 = (-12 + 4x) + -7 Reorder the terms: -35 = -12 + -7 + 4x Combine like terms: -12 + -7 = -19 -35 = -19 + 4x Solving -35 = -19 + 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. -35 + -4x = -19 + 4x + -4x Combine like terms: 4x + -4x = 0 -35 + -4x = -19 + 0 -35 + -4x = -19 Add '35' to each side of the equation. -35 + 35 + -4x = -19 + 35 Combine like terms: -35 + 35 = 0 0 + -4x = -19 + 35 -4x = -19 + 35 Combine like terms: -19 + 35 = 16 -4x = 16 Divide each side by '-4'. x = -4 Simplifying x = -4
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