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Simplifying 3x + 7 + -1x = 19 + -4(x + -3) Reorder the terms: 7 + 3x + -1x = 19 + -4(x + -3) Combine like terms: 3x + -1x = 2x 7 + 2x = 19 + -4(x + -3) Reorder the terms: 7 + 2x = 19 + -4(-3 + x) 7 + 2x = 19 + (-3 * -4 + x * -4) 7 + 2x = 19 + (12 + -4x) Combine like terms: 19 + 12 = 31 7 + 2x = 31 + -4x Solving 7 + 2x = 31 + -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. 7 + 2x + 4x = 31 + -4x + 4x Combine like terms: 2x + 4x = 6x 7 + 6x = 31 + -4x + 4x Combine like terms: -4x + 4x = 0 7 + 6x = 31 + 0 7 + 6x = 31 Add '-7' to each side of the equation. 7 + -7 + 6x = 31 + -7 Combine like terms: 7 + -7 = 0 0 + 6x = 31 + -7 6x = 31 + -7 Combine like terms: 31 + -7 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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