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Simplifying -2x + 19 = 4(2x + -2) + 7 Reorder the terms: 19 + -2x = 4(2x + -2) + 7 Reorder the terms: 19 + -2x = 4(-2 + 2x) + 7 19 + -2x = (-2 * 4 + 2x * 4) + 7 19 + -2x = (-8 + 8x) + 7 Reorder the terms: 19 + -2x = -8 + 7 + 8x Combine like terms: -8 + 7 = -1 19 + -2x = -1 + 8x Solving 19 + -2x = -1 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 19 + -2x + -8x = -1 + 8x + -8x Combine like terms: -2x + -8x = -10x 19 + -10x = -1 + 8x + -8x Combine like terms: 8x + -8x = 0 19 + -10x = -1 + 0 19 + -10x = -1 Add '-19' to each side of the equation. 19 + -19 + -10x = -1 + -19 Combine like terms: 19 + -19 = 0 0 + -10x = -1 + -19 -10x = -1 + -19 Combine like terms: -1 + -19 = -20 -10x = -20 Divide each side by '-10'. x = 2 Simplifying x = 2
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