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Simplifying 7x + 8x + -7 = -19(1 + -1x) Reorder the terms: -7 + 7x + 8x = -19(1 + -1x) Combine like terms: 7x + 8x = 15x -7 + 15x = -19(1 + -1x) -7 + 15x = (1 * -19 + -1x * -19) -7 + 15x = (-19 + 19x) Solving -7 + 15x = -19 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. -7 + 15x + -19x = -19 + 19x + -19x Combine like terms: 15x + -19x = -4x -7 + -4x = -19 + 19x + -19x Combine like terms: 19x + -19x = 0 -7 + -4x = -19 + 0 -7 + -4x = -19 Add '7' to each side of the equation. -7 + 7 + -4x = -19 + 7 Combine like terms: -7 + 7 = 0 0 + -4x = -19 + 7 -4x = -19 + 7 Combine like terms: -19 + 7 = -12 -4x = -12 Divide each side by '-4'. x = 3 Simplifying x = 3
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