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Simplifying 1 + -7(x + -4) = 19 + 3x Reorder the terms: 1 + -7(-4 + x) = 19 + 3x 1 + (-4 * -7 + x * -7) = 19 + 3x 1 + (28 + -7x) = 19 + 3x Combine like terms: 1 + 28 = 29 29 + -7x = 19 + 3x Solving 29 + -7x = 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. 29 + -7x + -3x = 19 + 3x + -3x Combine like terms: -7x + -3x = -10x 29 + -10x = 19 + 3x + -3x Combine like terms: 3x + -3x = 0 29 + -10x = 19 + 0 29 + -10x = 19 Add '-29' to each side of the equation. 29 + -29 + -10x = 19 + -29 Combine like terms: 29 + -29 = 0 0 + -10x = 19 + -29 -10x = 19 + -29 Combine like terms: 19 + -29 = -10 -10x = -10 Divide each side by '-10'. x = 1 Simplifying x = 1
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