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Simplifying 4(4x + -3) + 44 = 10x + -4 Reorder the terms: 4(-3 + 4x) + 44 = 10x + -4 (-3 * 4 + 4x * 4) + 44 = 10x + -4 (-12 + 16x) + 44 = 10x + -4 Reorder the terms: -12 + 44 + 16x = 10x + -4 Combine like terms: -12 + 44 = 32 32 + 16x = 10x + -4 Reorder the terms: 32 + 16x = -4 + 10x Solving 32 + 16x = -4 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 32 + 16x + -10x = -4 + 10x + -10x Combine like terms: 16x + -10x = 6x 32 + 6x = -4 + 10x + -10x Combine like terms: 10x + -10x = 0 32 + 6x = -4 + 0 32 + 6x = -4 Add '-32' to each side of the equation. 32 + -32 + 6x = -4 + -32 Combine like terms: 32 + -32 = 0 0 + 6x = -4 + -32 6x = -4 + -32 Combine like terms: -4 + -32 = -36 6x = -36 Divide each side by '6'. x = -6 Simplifying x = -6
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