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Simplifying 19 + -47 = 3(x + -1) + -7 Combine like terms: 19 + -47 = -28 -28 = 3(x + -1) + -7 Reorder the terms: -28 = 3(-1 + x) + -7 -28 = (-1 * 3 + x * 3) + -7 -28 = (-3 + 3x) + -7 Reorder the terms: -28 = -3 + -7 + 3x Combine like terms: -3 + -7 = -10 -28 = -10 + 3x Solving -28 = -10 + 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 = -10 + 3x + -3x Combine like terms: 3x + -3x = 0 -28 + -3x = -10 + 0 -28 + -3x = -10 Add '28' to each side of the equation. -28 + 28 + -3x = -10 + 28 Combine like terms: -28 + 28 = 0 0 + -3x = -10 + 28 -3x = -10 + 28 Combine like terms: -10 + 28 = 18 -3x = 18 Divide each side by '-3'. x = -6 Simplifying x = -6
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