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Simplifying 4x + -19 = -7 + 8(x + -1) Reorder the terms: -19 + 4x = -7 + 8(x + -1) Reorder the terms: -19 + 4x = -7 + 8(-1 + x) -19 + 4x = -7 + (-1 * 8 + x * 8) -19 + 4x = -7 + (-8 + 8x) Combine like terms: -7 + -8 = -15 -19 + 4x = -15 + 8x Solving -19 + 4x = -15 + 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 + 4x + -8x = -15 + 8x + -8x Combine like terms: 4x + -8x = -4x -19 + -4x = -15 + 8x + -8x Combine like terms: 8x + -8x = 0 -19 + -4x = -15 + 0 -19 + -4x = -15 Add '19' to each side of the equation. -19 + 19 + -4x = -15 + 19 Combine like terms: -19 + 19 = 0 0 + -4x = -15 + 19 -4x = -15 + 19 Combine like terms: -15 + 19 = 4 -4x = 4 Divide each side by '-4'. x = -1 Simplifying x = -1
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