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Simplifying 18 + -46 = 3(x + -4) + -7 Combine like terms: 18 + -46 = -28 -28 = 3(x + -4) + -7 Reorder the terms: -28 = 3(-4 + x) + -7 -28 = (-4 * 3 + x * 3) + -7 -28 = (-12 + 3x) + -7 Reorder the terms: -28 = -12 + -7 + 3x Combine like terms: -12 + -7 = -19 -28 = -19 + 3x Solving -28 = -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. -28 + -3x = -19 + 3x + -3x Combine like terms: 3x + -3x = 0 -28 + -3x = -19 + 0 -28 + -3x = -19 Add '28' to each side of the equation. -28 + 28 + -3x = -19 + 28 Combine like terms: -28 + 28 = 0 0 + -3x = -19 + 28 -3x = -19 + 28 Combine like terms: -19 + 28 = 9 -3x = 9 Divide each side by '-3'. x = -3 Simplifying x = -3
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