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Simplifying 16 + -47 = 3(x + -4) + -7 Combine like terms: 16 + -47 = -31 -31 = 3(x + -4) + -7 Reorder the terms: -31 = 3(-4 + x) + -7 -31 = (-4 * 3 + x * 3) + -7 -31 = (-12 + 3x) + -7 Reorder the terms: -31 = -12 + -7 + 3x Combine like terms: -12 + -7 = -19 -31 = -19 + 3x Solving -31 = -19 + 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. -31 + -3x = -19 + 3x + -3x Combine like terms: 3x + -3x = 0 -31 + -3x = -19 + 0 -31 + -3x = -19 Add '31' to each side of the equation. -31 + 31 + -3x = -19 + 31 Combine like terms: -31 + 31 = 0 0 + -3x = -19 + 31 -3x = -19 + 31 Combine like terms: -19 + 31 = 12 -3x = 12 Divide each side by '-3'. x = -4 Simplifying x = -4
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