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Simplifying 19 = 4(x + -3) + -1(x + -7) Reorder the terms: 19 = 4(-3 + x) + -1(x + -7) 19 = (-3 * 4 + x * 4) + -1(x + -7) 19 = (-12 + 4x) + -1(x + -7) Reorder the terms: 19 = -12 + 4x + -1(-7 + x) 19 = -12 + 4x + (-7 * -1 + x * -1) 19 = -12 + 4x + (7 + -1x) Reorder the terms: 19 = -12 + 7 + 4x + -1x Combine like terms: -12 + 7 = -5 19 = -5 + 4x + -1x Combine like terms: 4x + -1x = 3x 19 = -5 + 3x Solving 19 = -5 + 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. 19 + -3x = -5 + 3x + -3x Combine like terms: 3x + -3x = 0 19 + -3x = -5 + 0 19 + -3x = -5 Add '-19' to each side of the equation. 19 + -19 + -3x = -5 + -19 Combine like terms: 19 + -19 = 0 0 + -3x = -5 + -19 -3x = -5 + -19 Combine like terms: -5 + -19 = -24 -3x = -24 Divide each side by '-3'. x = 8 Simplifying x = 8
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