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Simplifying 4x + 19 = 8(x + -2) + 15 Reorder the terms: 19 + 4x = 8(x + -2) + 15 Reorder the terms: 19 + 4x = 8(-2 + x) + 15 19 + 4x = (-2 * 8 + x * 8) + 15 19 + 4x = (-16 + 8x) + 15 Reorder the terms: 19 + 4x = -16 + 15 + 8x Combine like terms: -16 + 15 = -1 19 + 4x = -1 + 8x Solving 19 + 4x = -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 + 4x + -8x = -1 + 8x + -8x Combine like terms: 4x + -8x = -4x 19 + -4x = -1 + 8x + -8x Combine like terms: 8x + -8x = 0 19 + -4x = -1 + 0 19 + -4x = -1 Add '-19' to each side of the equation. 19 + -19 + -4x = -1 + -19 Combine like terms: 19 + -19 = 0 0 + -4x = -1 + -19 -4x = -1 + -19 Combine like terms: -1 + -19 = -20 -4x = -20 Divide each side by '-4'. x = 5 Simplifying x = 5
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